-2(6-7a)=8(4a-6)

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Solution for -2(6-7a)=8(4a-6) equation:


Simplifying
-2(6 + -7a) = 8(4a + -6)
(6 * -2 + -7a * -2) = 8(4a + -6)
(-12 + 14a) = 8(4a + -6)

Reorder the terms:
-12 + 14a = 8(-6 + 4a)
-12 + 14a = (-6 * 8 + 4a * 8)
-12 + 14a = (-48 + 32a)

Solving
-12 + 14a = -48 + 32a

Solving for variable 'a'.

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

Add '-32a' to each side of the equation.
-12 + 14a + -32a = -48 + 32a + -32a

Combine like terms: 14a + -32a = -18a
-12 + -18a = -48 + 32a + -32a

Combine like terms: 32a + -32a = 0
-12 + -18a = -48 + 0
-12 + -18a = -48

Add '12' to each side of the equation.
-12 + 12 + -18a = -48 + 12

Combine like terms: -12 + 12 = 0
0 + -18a = -48 + 12
-18a = -48 + 12

Combine like terms: -48 + 12 = -36
-18a = -36

Divide each side by '-18'.
a = 2

Simplifying
a = 2

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