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Simplifying 14 + -1(5m + 7) = 5 + 3m + -14 Reorder the terms: 14 + -1(7 + 5m) = 5 + 3m + -14 14 + (7 * -1 + 5m * -1) = 5 + 3m + -14 14 + (-7 + -5m) = 5 + 3m + -14 Combine like terms: 14 + -7 = 7 7 + -5m = 5 + 3m + -14 Reorder the terms: 7 + -5m = 5 + -14 + 3m Combine like terms: 5 + -14 = -9 7 + -5m = -9 + 3m Solving 7 + -5m = -9 + 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. 7 + -5m + -3m = -9 + 3m + -3m Combine like terms: -5m + -3m = -8m 7 + -8m = -9 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + -8m = -9 + 0 7 + -8m = -9 Add '-7' to each side of the equation. 7 + -7 + -8m = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -8m = -9 + -7 -8m = -9 + -7 Combine like terms: -9 + -7 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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