4 - 6n = 60 - 2n subtract 4 from both sides
-6n = 56 - 2n add 2n to both sides
-4n = 56 divide both sides by (-4)
n = - 14
-7 + 11p = 3p - 47 add 7 to both sides
11p = 3p - 40 subtract 3p from both sides
8p = -40 divide both sides by 8
p = - 5
3a - 28 - 7a = 10a combine like terms
(3a - 7a) - 28 = 10a
-4a - 28 = 10a add 28 to both sides
-4a = 10a + 28 subtract 10 from both sides
-14a = 28 divide both sides by (-14)
a = - 2
17 - 5r + 9r = 12 + 6r - 1 combine like terms
17 + (-5r + 9r) = (12 - 1) + 6r
17 + 4r = 11 + 6r subtract 17 from both sides
4r = -6 + 6r subtract 6r from both sides
-2r = -6 divide both sides by (-2)
r = 3
8(y - 7) = -2(y + 3) use distributive property: a(b + c) = ab + ac
(8)(y) + (8)(-7) = (-2)(y) + (-2)(3)
8y - 56 = -2y - 6 add 56 to both sides
8y = -2y + 50 add 2y to both sides
10y = 50 divide both sides by 10
y = 5
-3(8k + 5) = 3(9 - k) use distributive property: a(b + c) = ab + ac
(-3)(8k) + (-3)(5) = (3)(9) + (3)(-k)
-24k - 15 = 27 - 3k add 15 to both sides
-24k = 42 - 3k add 3k to both sides
-21k = 42 divide both sides by (-21)
k = -2
2(3v - 5) = 2(v - 11) - 4 use distributive property: a(b + c) = ab + ac
(2)(3v) + (2)(-5) = (2)(v) + (2)(-11) - 4
6v - 10 = 2v - 22 - 4
6v - 10 = 2v - 26 add 10 to both sides
6v = 2v - 16 subtract 2v from both sides
4v = -16 divide both sides by 4
v = -4
-2/3 (15x + 3) -3x - 9 use distributive property: a(b + c) = ab + ac
= (-2/3)(15x) + (-2/3)(3) - 3x - 9
= (-2)(5x) - 2 - 3x - 9
= -10x - 2 - 3x - 9 combine like terms
= (-10x - 3x) + (-2 - 9)
= -13x - 11
3(1 - 9a) + 22a = 2(2a - 9) - 15
use distributive property: a(b + c) = ab + ac
(3)(1) + (3)(-9a) + 22a = (2)(2a) + (2)(-9) - 15
3 - 27a + 22a = 4a - 18 - 15 combine like terms
3 + (-27a + 22a) = 4a + (-18 - 15)
3 - 5a = 4a - 33 subtract 3 from both sides
-5a = 4a - 36 subtract 4a from both sides
-9a = -36 divide both sides by (-9)
a = 4
-3(3m - 10) - 7 = -5(m + 1) + 3m
use distributive property: a(b + c) = ab + ac
(-3)(3m) + (-3)(-10) - 7 = (-5)(m) + (-5)(1) + 3m
-9m + 30 - 7 = -5m - 5 + 3m combine like terms
-9m + (30 - 7) = (-5m + 3m) - 5
-9m + 23 = -2m - 5 subtract 23 from both sides
-9m = -2m - 28 add 2m to both sides
-7m = -28 divide both sides by (-7)
m = 4