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Simplifying -1(6m + 1) = -8m + 15 Reorder the terms: -1(1 + 6m) = -8m + 15 (1 * -1 + 6m * -1) = -8m + 15 (-1 + -6m) = -8m + 15 Reorder the terms: -1 + -6m = 15 + -8m Solving -1 + -6m = 15 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -1 + -6m + 8m = 15 + -8m + 8m Combine like terms: -6m + 8m = 2m -1 + 2m = 15 + -8m + 8m Combine like terms: -8m + 8m = 0 -1 + 2m = 15 + 0 -1 + 2m = 15 Add '1' to each side of the equation. -1 + 1 + 2m = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 15 + 1 2m = 15 + 1 Combine like terms: 15 + 1 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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