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Simplifying -8(1 + 6m) + 6m = -3m + 31 (1 * -8 + 6m * -8) + 6m = -3m + 31 (-8 + -48m) + 6m = -3m + 31 Combine like terms: -48m + 6m = -42m -8 + -42m = -3m + 31 Reorder the terms: -8 + -42m = 31 + -3m Solving -8 + -42m = 31 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -8 + -42m + 3m = 31 + -3m + 3m Combine like terms: -42m + 3m = -39m -8 + -39m = 31 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + -39m = 31 + 0 -8 + -39m = 31 Add '8' to each side of the equation. -8 + 8 + -39m = 31 + 8 Combine like terms: -8 + 8 = 0 0 + -39m = 31 + 8 -39m = 31 + 8 Combine like terms: 31 + 8 = 39 -39m = 39 Divide each side by '-39'. m = -1 Simplifying m = -1
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