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Simplifying 17 + -1(3m + 7) = 3 + 2m + -18 Reorder the terms: 17 + -1(7 + 3m) = 3 + 2m + -18 17 + (7 * -1 + 3m * -1) = 3 + 2m + -18 17 + (-7 + -3m) = 3 + 2m + -18 Combine like terms: 17 + -7 = 10 10 + -3m = 3 + 2m + -18 Reorder the terms: 10 + -3m = 3 + -18 + 2m Combine like terms: 3 + -18 = -15 10 + -3m = -15 + 2m Solving 10 + -3m = -15 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 10 + -3m + -2m = -15 + 2m + -2m Combine like terms: -3m + -2m = -5m 10 + -5m = -15 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -5m = -15 + 0 10 + -5m = -15 Add '-10' to each side of the equation. 10 + -10 + -5m = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -5m = -15 + -10 -5m = -15 + -10 Combine like terms: -15 + -10 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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