7(6+2a)+6=-2(-2a+6)

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Solution for 7(6+2a)+6=-2(-2a+6) equation: 


Simplifying
7(6 + 2a) + 6 = -2(-2a + 6)
(6 * 7 + 2a * 7) + 6 = -2(-2a + 6)
(42 + 14a) + 6 = -2(-2a + 6)

Reorder the terms:
42 + 6 + 14a = -2(-2a + 6)

Combine like terms: 42 + 6 = 48
48 + 14a = -2(-2a + 6)

Reorder the terms:
48 + 14a = -2(6 + -2a)
48 + 14a = (6 * -2 + -2a * -2)
48 + 14a = (-12 + 4a)

Solving
48 + 14a = -12 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
48 + 14a + -4a = -12 + 4a + -4a

Combine like terms: 14a + -4a = 10a
48 + 10a = -12 + 4a + -4a

Combine like terms: 4a + -4a = 0
48 + 10a = -12 + 0
48 + 10a = -12

Add '-48' to each side of the equation.
48 + -48 + 10a = -12 + -48

Combine like terms: 48 + -48 = 0
0 + 10a = -12 + -48
10a = -12 + -48

Combine like terms: -12 + -48 = -60
10a = -60

Divide each side by '10'.
a = -6

Simplifying
a = -6

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