-120=8(a-5)-6

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Solution for -120=8(a-5)-6 equation: 


Simplifying
-120 = 8(a + -5) + -6

Reorder the terms:
-120 = 8(-5 + a) + -6
-120 = (-5 * 8 + a * 8) + -6
-120 = (-40 + 8a) + -6

Reorder the terms:
-120 = -40 + -6 + 8a

Combine like terms: -40 + -6 = -46
-120 = -46 + 8a

Solving
-120 = -46 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-120 + -8a = -46 + 8a + -8a

Combine like terms: 8a + -8a = 0
-120 + -8a = -46 + 0
-120 + -8a = -46

Add '120' to each side of the equation.
-120 + 120 + -8a = -46 + 120

Combine like terms: -120 + 120 = 0
0 + -8a = -46 + 120
-8a = -46 + 120

Combine like terms: -46 + 120 = 74
-8a = 74

Divide each side by '-8'.
a = -9.25

Simplifying
a = -9.25

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