a+7+6=8(4+8a)+4(5-6a)

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Solution for a+7+6=8(4+8a)+4(5-6a) equation:


Simplifying
a + 7 + 6 = 8(4 + 8a) + 4(5 + -6a)

Reorder the terms:
7 + 6 + a = 8(4 + 8a) + 4(5 + -6a)

Combine like terms: 7 + 6 = 13
13 + a = 8(4 + 8a) + 4(5 + -6a)
13 + a = (4 * 8 + 8a * 8) + 4(5 + -6a)
13 + a = (32 + 64a) + 4(5 + -6a)
13 + a = 32 + 64a + (5 * 4 + -6a * 4)
13 + a = 32 + 64a + (20 + -24a)

Reorder the terms:
13 + a = 32 + 20 + 64a + -24a

Combine like terms: 32 + 20 = 52
13 + a = 52 + 64a + -24a

Combine like terms: 64a + -24a = 40a
13 + a = 52 + 40a

Solving
13 + a = 52 + 40a

Solving for variable 'a'.

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

Add '-40a' to each side of the equation.
13 + a + -40a = 52 + 40a + -40a

Combine like terms: a + -40a = -39a
13 + -39a = 52 + 40a + -40a

Combine like terms: 40a + -40a = 0
13 + -39a = 52 + 0
13 + -39a = 52

Add '-13' to each side of the equation.
13 + -13 + -39a = 52 + -13

Combine like terms: 13 + -13 = 0
0 + -39a = 52 + -13
-39a = 52 + -13

Combine like terms: 52 + -13 = 39
-39a = 39

Divide each side by '-39'.
a = -1

Simplifying
a = -1

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