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Simplifying -32 + 5a = -8(4 + 3a) + -3a -32 + 5a = (4 * -8 + 3a * -8) + -3a -32 + 5a = (-32 + -24a) + -3a Combine like terms: -24a + -3a = -27a -32 + 5a = -32 + -27a Add '32' to each side of the equation. -32 + 32 + 5a = -32 + 32 + -27a Combine like terms: -32 + 32 = 0 0 + 5a = -32 + 32 + -27a 5a = -32 + 32 + -27a Combine like terms: -32 + 32 = 0 5a = 0 + -27a 5a = -27a Solving 5a = -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. 5a + 27a = -27a + 27a Combine like terms: 5a + 27a = 32a 32a = -27a + 27a Combine like terms: -27a + 27a = 0 32a = 0 Divide each side by '32'. a = 0 Simplifying a = 0
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