109=-8(2a-8)-3

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Solution for 109=-8(2a-8)-3 equation:


Simplifying
109 = -8(2a + -8) + -3

Reorder the terms:
109 = -8(-8 + 2a) + -3
109 = (-8 * -8 + 2a * -8) + -3
109 = (64 + -16a) + -3

Reorder the terms:
109 = 64 + -3 + -16a

Combine like terms: 64 + -3 = 61
109 = 61 + -16a

Solving
109 = 61 + -16a

Solving for variable 'a'.

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

Add '16a' to each side of the equation.
109 + 16a = 61 + -16a + 16a

Combine like terms: -16a + 16a = 0
109 + 16a = 61 + 0
109 + 16a = 61

Add '-109' to each side of the equation.
109 + -109 + 16a = 61 + -109

Combine like terms: 109 + -109 = 0
0 + 16a = 61 + -109
16a = 61 + -109

Combine like terms: 61 + -109 = -48
16a = -48

Divide each side by '16'.
a = -3

Simplifying
a = -3

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