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Simplifying 2(-1a + 4) = -32 + 3a Reorder the terms: 2(4 + -1a) = -32 + 3a (4 * 2 + -1a * 2) = -32 + 3a (8 + -2a) = -32 + 3a Solving 8 + -2a = -32 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + -2a + -3a = -32 + 3a + -3a Combine like terms: -2a + -3a = -5a 8 + -5a = -32 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + -5a = -32 + 0 8 + -5a = -32 Add '-8' to each side of the equation. 8 + -8 + -5a = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -5a = -32 + -8 -5a = -32 + -8 Combine like terms: -32 + -8 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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