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Simplifying -8(6a + -1) = -39 + -1a Reorder the terms: -8(-1 + 6a) = -39 + -1a (-1 * -8 + 6a * -8) = -39 + -1a (8 + -48a) = -39 + -1a Solving 8 + -48a = -39 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 8 + -48a + a = -39 + -1a + a Combine like terms: -48a + a = -47a 8 + -47a = -39 + -1a + a Combine like terms: -1a + a = 0 8 + -47a = -39 + 0 8 + -47a = -39 Add '-8' to each side of the equation. 8 + -8 + -47a = -39 + -8 Combine like terms: 8 + -8 = 0 0 + -47a = -39 + -8 -47a = -39 + -8 Combine like terms: -39 + -8 = -47 -47a = -47 Divide each side by '-47'. a = 1 Simplifying a = 1
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