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Simplifying 17 + -1(5m + 3) = 5 + 3m + -15 Reorder the terms: 17 + -1(3 + 5m) = 5 + 3m + -15 17 + (3 * -1 + 5m * -1) = 5 + 3m + -15 17 + (-3 + -5m) = 5 + 3m + -15 Combine like terms: 17 + -3 = 14 14 + -5m = 5 + 3m + -15 Reorder the terms: 14 + -5m = 5 + -15 + 3m Combine like terms: 5 + -15 = -10 14 + -5m = -10 + 3m Solving 14 + -5m = -10 + 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. 14 + -5m + -3m = -10 + 3m + -3m Combine like terms: -5m + -3m = -8m 14 + -8m = -10 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -8m = -10 + 0 14 + -8m = -10 Add '-14' to each side of the equation. 14 + -14 + -8m = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8m = -10 + -14 -8m = -10 + -14 Combine like terms: -10 + -14 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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