-102=8(a-5)-6

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Solution for -102=8(a-5)-6 equation: 


Simplifying
-102 = 8(a + -5) + -6

Reorder the terms:
-102 = 8(-5 + a) + -6
-102 = (-5 * 8 + a * 8) + -6
-102 = (-40 + 8a) + -6

Reorder the terms:
-102 = -40 + -6 + 8a

Combine like terms: -40 + -6 = -46
-102 = -46 + 8a

Solving
-102 = -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.
-102 + -8a = -46 + 8a + -8a

Combine like terms: 8a + -8a = 0
-102 + -8a = -46 + 0
-102 + -8a = -46

Add '102' to each side of the equation.
-102 + 102 + -8a = -46 + 102

Combine like terms: -102 + 102 = 0
0 + -8a = -46 + 102
-8a = -46 + 102

Combine like terms: -46 + 102 = 56
-8a = 56

Divide each side by '-8'.
a = -7

Simplifying
a = -7

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