6(-a+8)=2(a+8)-8

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Solution for 6(-a+8)=2(a+8)-8 equation: 


Simplifying
6(-1a + 8) = 2(a + 8) + -8

Reorder the terms:
6(8 + -1a) = 2(a + 8) + -8
(8 * 6 + -1a * 6) = 2(a + 8) + -8
(48 + -6a) = 2(a + 8) + -8

Reorder the terms:
48 + -6a = 2(8 + a) + -8
48 + -6a = (8 * 2 + a * 2) + -8
48 + -6a = (16 + 2a) + -8

Reorder the terms:
48 + -6a = 16 + -8 + 2a

Combine like terms: 16 + -8 = 8
48 + -6a = 8 + 2a

Solving
48 + -6a = 8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
48 + -6a + -2a = 8 + 2a + -2a

Combine like terms: -6a + -2a = -8a
48 + -8a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0
48 + -8a = 8 + 0
48 + -8a = 8

Add '-48' to each side of the equation.
48 + -48 + -8a = 8 + -48

Combine like terms: 48 + -48 = 0
0 + -8a = 8 + -48
-8a = 8 + -48

Combine like terms: 8 + -48 = -40
-8a = -40

Divide each side by '-8'.
a = 5

Simplifying
a = 5

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