8(2a-8)=-4(-3a+6)

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Solution for 8(2a-8)=-4(-3a+6) equation:


Simplifying
8(2a + -8) = -4(-3a + 6)

Reorder the terms:
8(-8 + 2a) = -4(-3a + 6)
(-8 * 8 + 2a * 8) = -4(-3a + 6)
(-64 + 16a) = -4(-3a + 6)

Reorder the terms:
-64 + 16a = -4(6 + -3a)
-64 + 16a = (6 * -4 + -3a * -4)
-64 + 16a = (-24 + 12a)

Solving
-64 + 16a = -24 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-64 + 16a + -12a = -24 + 12a + -12a

Combine like terms: 16a + -12a = 4a
-64 + 4a = -24 + 12a + -12a

Combine like terms: 12a + -12a = 0
-64 + 4a = -24 + 0
-64 + 4a = -24

Add '64' to each side of the equation.
-64 + 64 + 4a = -24 + 64

Combine like terms: -64 + 64 = 0
0 + 4a = -24 + 64
4a = -24 + 64

Combine like terms: -24 + 64 = 40
4a = 40

Divide each side by '4'.
a = 10

Simplifying
a = 10

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