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Simplifying 17 + -1(2m + 6) = 4 + 3m + -18 Reorder the terms: 17 + -1(6 + 2m) = 4 + 3m + -18 17 + (6 * -1 + 2m * -1) = 4 + 3m + -18 17 + (-6 + -2m) = 4 + 3m + -18 Combine like terms: 17 + -6 = 11 11 + -2m = 4 + 3m + -18 Reorder the terms: 11 + -2m = 4 + -18 + 3m Combine like terms: 4 + -18 = -14 11 + -2m = -14 + 3m Solving 11 + -2m = -14 + 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. 11 + -2m + -3m = -14 + 3m + -3m Combine like terms: -2m + -3m = -5m 11 + -5m = -14 + 3m + -3m Combine like terms: 3m + -3m = 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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