102=8a+2(-5+4a)

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Solution for 102=8a+2(-5+4a) equation:


Simplifying
102 = 8a + 2(-5 + 4a)
102 = 8a + (-5 * 2 + 4a * 2)
102 = 8a + (-10 + 8a)

Reorder the terms:
102 = -10 + 8a + 8a

Combine like terms: 8a + 8a = 16a
102 = -10 + 16a

Solving
102 = -10 + 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.
102 + -16a = -10 + 16a + -16a

Combine like terms: 16a + -16a = 0
102 + -16a = -10 + 0
102 + -16a = -10

Add '-102' to each side of the equation.
102 + -102 + -16a = -10 + -102

Combine like terms: 102 + -102 = 0
0 + -16a = -10 + -102
-16a = -10 + -102

Combine like terms: -10 + -102 = -112
-16a = -112

Divide each side by '-16'.
a = 7

Simplifying
a = 7

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