-7(4a+7)+8a=-89

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Solution for -7(4a+7)+8a=-89 equation:


Simplifying
-7(4a + 7) + 8a = -89

Reorder the terms:
-7(7 + 4a) + 8a = -89
(7 * -7 + 4a * -7) + 8a = -89
(-49 + -28a) + 8a = -89

Combine like terms: -28a + 8a = -20a
-49 + -20a = -89

Solving
-49 + -20a = -89

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + -20a = -89 + 49

Combine like terms: -49 + 49 = 0
0 + -20a = -89 + 49
-20a = -89 + 49

Combine like terms: -89 + 49 = -40
-20a = -40

Divide each side by '-20'.
a = 2

Simplifying
a = 2

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