In any equation in math, the most basic thing is the the fact that both expressions on either side of the equality sign are of the same value. This means -35 and 5b (in number 1) are of the same value. Therefore, whatever you do to the one on the left, you must likewise do to the one on the right. That is, if you have to add 10 to the one on the left, you must simultaneously add 10 to the one on the right. Hence, number 1 is solved as follows;
(1) -35 = 5b
To eliminate the 5 and isolate the b variable, divide both sides by 5
-35/5 = 5b/5
- 7 = b
(2) x - 6 = - 26
Add 6 to both sides of the equation;
x - 6 + 6 = - 26 + 6
x = - 20
(3) 130 = 13b
Divide both sides of the equation by 13
130/13 = 13b/13
10 = b
(4) 19 = 16 + m
Subtract 16 from both sides of the equation
19 - 16 = 16 - 16 + m
3 = m
(5) a + 15 = 11
Subtract 15 from both sides of the equation
a + 15 - 15 = 11 - 15
a = - 4
(6) p - 8 = - 8
Add 8 to both sides of the equation
p - 8 + 8 = - 8 + 8
p = 0
(7) - 17 + x = - 24
Add 17 to both sides of the equation
- 17 + 17 + x = - 24 + 17
x = - 7
(8) 4 + n = 13
Subtract 4 from both sides of the equation
4 - 4 + n = 13 - 4
n = 9
(9) - 3x = 0
Divide both sides of the equation by - 3
- 3x/-3 = 0/-3
x = 0
(10) 0.6 = m - 0.8
Add 0.8 to both sides of the equation
0.6 + 0.8 = m - 0.8 + 0.8
1.4 = m
(11) x - 5.3 = 1.27
Add 5.3 to both sides of the equation
x - 5.3 + 5.3 = 1.27 + 5.3
x = 6.57