-4(a-4)=-2a-3(2a-4)

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


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

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

Reorder the terms:
16 + -4a = -2a + -3(-4 + 2a)
16 + -4a = -2a + (-4 * -3 + 2a * -3)
16 + -4a = -2a + (12 + -6a)

Reorder the terms:
16 + -4a = 12 + -2a + -6a

Combine like terms: -2a + -6a = -8a
16 + -4a = 12 + -8a

Solving
16 + -4a = 12 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
16 + -4a + 8a = 12 + -8a + 8a

Combine like terms: -4a + 8a = 4a
16 + 4a = 12 + -8a + 8a

Combine like terms: -8a + 8a = 0
16 + 4a = 12 + 0
16 + 4a = 12

Add '-16' to each side of the equation.
16 + -16 + 4a = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 4a = 12 + -16
4a = 12 + -16

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

Divide each side by '4'.
a = -1

Simplifying
a = -1

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