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Simplifying 17 + -1(2m + 4) = 5 + 3m + -12 Reorder the terms: 17 + -1(4 + 2m) = 5 + 3m + -12 17 + (4 * -1 + 2m * -1) = 5 + 3m + -12 17 + (-4 + -2m) = 5 + 3m + -12 Combine like terms: 17 + -4 = 13 13 + -2m = 5 + 3m + -12 Reorder the terms: 13 + -2m = 5 + -12 + 3m Combine like terms: 5 + -12 = -7 13 + -2m = -7 + 3m Solving 13 + -2m = -7 + 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. 13 + -2m + -3m = -7 + 3m + -3m Combine like terms: -2m + -3m = -5m 13 + -5m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -5m = -7 + 0 13 + -5m = -7 Add '-13' to each side of the equation. 13 + -13 + -5m = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5m = -7 + -13 -5m = -7 + -13 Combine like terms: -7 + -13 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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