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Simplifying 4a + -32 = -8(4 + 4a) Reorder the terms: -32 + 4a = -8(4 + 4a) -32 + 4a = (4 * -8 + 4a * -8) -32 + 4a = (-32 + -32a) Add '32' to each side of the equation. -32 + 32 + 4a = -32 + 32 + -32a Combine like terms: -32 + 32 = 0 0 + 4a = -32 + 32 + -32a 4a = -32 + 32 + -32a Combine like terms: -32 + 32 = 0 4a = 0 + -32a 4a = -32a Solving 4a = -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. 4a + 32a = -32a + 32a Combine like terms: 4a + 32a = 36a 36a = -32a + 32a Combine like terms: -32a + 32a = 0 36a = 0 Divide each side by '36'. a = 0 Simplifying a = 0
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