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Simplifying 15 + -1(3m + 7) = 5 + 3m + -15 Reorder the terms: 15 + -1(7 + 3m) = 5 + 3m + -15 15 + (7 * -1 + 3m * -1) = 5 + 3m + -15 15 + (-7 + -3m) = 5 + 3m + -15 Combine like terms: 15 + -7 = 8 8 + -3m = 5 + 3m + -15 Reorder the terms: 8 + -3m = 5 + -15 + 3m Combine like terms: 5 + -15 = -10 8 + -3m = -10 + 3m Solving 8 + -3m = -10 + 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 + -3m + -3m = -10 + 3m + -3m Combine like terms: -3m + -3m = -6m 8 + -6m = -10 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -6m = -10 + 0 8 + -6m = -10 Add '-8' to each side of the equation. 8 + -8 + -6m = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6m = -10 + -8 -6m = -10 + -8 Combine like terms: -10 + -8 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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