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Simplifying 17 + -1(5m + 4) = 2 + 3m + -13 Reorder the terms: 17 + -1(4 + 5m) = 2 + 3m + -13 17 + (4 * -1 + 5m * -1) = 2 + 3m + -13 17 + (-4 + -5m) = 2 + 3m + -13 Combine like terms: 17 + -4 = 13 13 + -5m = 2 + 3m + -13 Reorder the terms: 13 + -5m = 2 + -13 + 3m Combine like terms: 2 + -13 = -11 13 + -5m = -11 + 3m Solving 13 + -5m = -11 + 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. 13 + -5m + -3m = -11 + 3m + -3m Combine like terms: -5m + -3m = -8m 13 + -8m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 13 + -8m = -11 + 0 13 + -8m = -11 Add '-13' to each side of the equation. 13 + -13 + -8m = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -8m = -11 + -13 -8m = -11 + -13 Combine like terms: -11 + -13 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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