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Simplifying 14 + -1(3m + 7) = 4 + 2m + -17 Reorder the terms: 14 + -1(7 + 3m) = 4 + 2m + -17 14 + (7 * -1 + 3m * -1) = 4 + 2m + -17 14 + (-7 + -3m) = 4 + 2m + -17 Combine like terms: 14 + -7 = 7 7 + -3m = 4 + 2m + -17 Reorder the terms: 7 + -3m = 4 + -17 + 2m Combine like terms: 4 + -17 = -13 7 + -3m = -13 + 2m Solving 7 + -3m = -13 + 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. 7 + -3m + -2m = -13 + 2m + -2m Combine like terms: -3m + -2m = -5m 7 + -5m = -13 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + -5m = -13 + 0 7 + -5m = -13 Add '-7' to each side of the equation. 7 + -7 + -5m = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = -13 + -7 -5m = -13 + -7 Combine like terms: -13 + -7 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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