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Simplifying -3(-1 + -4a) = 5a + -32 (-1 * -3 + -4a * -3) = 5a + -32 (3 + 12a) = 5a + -32 Reorder the terms: 3 + 12a = -32 + 5a Solving 3 + 12a = -32 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3 + 12a + -5a = -32 + 5a + -5a Combine like terms: 12a + -5a = 7a 3 + 7a = -32 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + 7a = -32 + 0 3 + 7a = -32 Add '-3' to each side of the equation. 3 + -3 + 7a = -32 + -3 Combine like terms: 3 + -3 = 0 0 + 7a = -32 + -3 7a = -32 + -3 Combine like terms: -32 + -3 = -35 7a = -35 Divide each side by '7'. a = -5 Simplifying a = -5
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