40-8a=-4a-8(a-4)

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Solution for 40-8a=-4a-8(a-4) equation:


Simplifying
40 + -8a = -4a + -8(a + -4)

Reorder the terms:
40 + -8a = -4a + -8(-4 + a)
40 + -8a = -4a + (-4 * -8 + a * -8)
40 + -8a = -4a + (32 + -8a)

Reorder the terms:
40 + -8a = 32 + -4a + -8a

Combine like terms: -4a + -8a = -12a
40 + -8a = 32 + -12a

Solving
40 + -8a = 32 + -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.
40 + -8a + 12a = 32 + -12a + 12a

Combine like terms: -8a + 12a = 4a
40 + 4a = 32 + -12a + 12a

Combine like terms: -12a + 12a = 0
40 + 4a = 32 + 0
40 + 4a = 32

Add '-40' to each side of the equation.
40 + -40 + 4a = 32 + -40

Combine like terms: 40 + -40 = 0
0 + 4a = 32 + -40
4a = 32 + -40

Combine like terms: 32 + -40 = -8
4a = -8

Divide each side by '4'.
a = -2

Simplifying
a = -2

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