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Simplifying -5(8a + -3) = -32 + 7a Reorder the terms: -5(-3 + 8a) = -32 + 7a (-3 * -5 + 8a * -5) = -32 + 7a (15 + -40a) = -32 + 7a Solving 15 + -40a = -32 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + -40a + -7a = -32 + 7a + -7a Combine like terms: -40a + -7a = -47a 15 + -47a = -32 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + -47a = -32 + 0 15 + -47a = -32 Add '-15' to each side of the equation. 15 + -15 + -47a = -32 + -15 Combine like terms: 15 + -15 = 0 0 + -47a = -32 + -15 -47a = -32 + -15 Combine like terms: -32 + -15 = -47 -47a = -47 Divide each side by '-47'. a = 1 Simplifying a = 1
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