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Simplifying 3m + 15 = 8m + -1(1 + 7m) Reorder the terms: 15 + 3m = 8m + -1(1 + 7m) 15 + 3m = 8m + (1 * -1 + 7m * -1) 15 + 3m = 8m + (-1 + -7m) Reorder the terms: 15 + 3m = -1 + 8m + -7m Combine like terms: 8m + -7m = 1m 15 + 3m = -1 + 1m Solving 15 + 3m = -1 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 15 + 3m + -1m = -1 + 1m + -1m Combine like terms: 3m + -1m = 2m 15 + 2m = -1 + 1m + -1m Combine like terms: 1m + -1m = 0 15 + 2m = -1 + 0 15 + 2m = -1 Add '-15' to each side of the equation. 15 + -15 + 2m = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 2m = -1 + -15 2m = -1 + -15 Combine like terms: -1 + -15 = -16 2m = -16 Divide each side by '2'. m = -8 Simplifying m = -8
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