10-(-2)+4(-a-5)=-20

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Solution for 10-(-2)+4(-a-5)=-20 equation:


Simplifying
10 + -1(-2) + 4(-1a + -5) = -20

Multiply -1 * -2
10 + 2 + 4(-1a + -5) = -20

Reorder the terms:
10 + 2 + 4(-5 + -1a) = -20
10 + 2 + (-5 * 4 + -1a * 4) = -20
10 + 2 + (-20 + -4a) = -20

Combine like terms: 10 + 2 = 12
12 + -20 + -4a = -20

Combine like terms: 12 + -20 = -8
-8 + -4a = -20

Solving
-8 + -4a = -20

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -4a = -20 + 8

Combine like terms: -8 + 8 = 0
0 + -4a = -20 + 8
-4a = -20 + 8

Combine like terms: -20 + 8 = -12
-4a = -12

Divide each side by '-4'.
a = 3

Simplifying
a = 3

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