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Simplifying 18 + -1(3m + 7) = 2 + 2m + -16 Reorder the terms: 18 + -1(7 + 3m) = 2 + 2m + -16 18 + (7 * -1 + 3m * -1) = 2 + 2m + -16 18 + (-7 + -3m) = 2 + 2m + -16 Combine like terms: 18 + -7 = 11 11 + -3m = 2 + 2m + -16 Reorder the terms: 11 + -3m = 2 + -16 + 2m Combine like terms: 2 + -16 = -14 11 + -3m = -14 + 2m Solving 11 + -3m = -14 + 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. 11 + -3m + -2m = -14 + 2m + -2m Combine like terms: -3m + -2m = -5m 11 + -5m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 11 + -5m = -14 + 0 11 + -5m = -14 Add '-11' to each side of the equation. 11 + -11 + -5m = -14 + -11 Combine like terms: 11 + -11 = 0 0 + -5m = -14 + -11 -5m = -14 + -11 Combine like terms: -14 + -11 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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