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Simplifying 17 + -1(2m + 7) = 2 + 3m + -12 Reorder the terms: 17 + -1(7 + 2m) = 2 + 3m + -12 17 + (7 * -1 + 2m * -1) = 2 + 3m + -12 17 + (-7 + -2m) = 2 + 3m + -12 Combine like terms: 17 + -7 = 10 10 + -2m = 2 + 3m + -12 Reorder the terms: 10 + -2m = 2 + -12 + 3m Combine like terms: 2 + -12 = -10 10 + -2m = -10 + 3m Solving 10 + -2m = -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. 10 + -2m + -3m = -10 + 3m + -3m Combine like terms: -2m + -3m = -5m 10 + -5m = -10 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -5m = -10 + 0 10 + -5m = -10 Add '-10' to each side of the equation. 10 + -10 + -5m = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5m = -10 + -10 -5m = -10 + -10 Combine like terms: -10 + -10 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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