Answer:
1. x = 7/2
2. x = -5
3. x = -7
4. x = 0
Step-by-step explanation:
To solve the given equations:
1. -20 = -4x - 6
Add 6 to both sides of the equation
-20 + 6 = -4x - 6 + 6
-14 = -4x
Divide both sides by -4
x = -14/(-4) = 7/2 or 3.5
2. 6 = 1 - 2n - 5
Collect like terms
6 = 1 - 5 - 2n
6 = -4 - 2n
Add 4 to both sides
6 + 4 = -4 - 2n + 4
10 = -2n
Divide both sides by -2
n = 10/(-2) = -5
3. 8x - 2 = -9 + 7x
Subtract 7x from both sides
8x - 2 - 7x = -9 + 7x - 7x
x - 2 = -9
Add 2 to both sides
x - 2 + 2 = -9 + 2
x = -7
4. a + 5 = -5a + 5
Subtract 5 from both sides
a + 5 - 5 = -5a + 5 - 5
a = -5a
Add 5a to both sides
a + 5a = -5a + 5a
6a = 0
Divide both sides by 6
a = 0/6 = 0