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Simplifying 17 + -1(2m + 7) = 5 + 4m + -13 Reorder the terms: 17 + -1(7 + 2m) = 5 + 4m + -13 17 + (7 * -1 + 2m * -1) = 5 + 4m + -13 17 + (-7 + -2m) = 5 + 4m + -13 Combine like terms: 17 + -7 = 10 10 + -2m = 5 + 4m + -13 Reorder the terms: 10 + -2m = 5 + -13 + 4m Combine like terms: 5 + -13 = -8 10 + -2m = -8 + 4m Solving 10 + -2m = -8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 10 + -2m + -4m = -8 + 4m + -4m Combine like terms: -2m + -4m = -6m 10 + -6m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 10 + -6m = -8 + 0 10 + -6m = -8 Add '-10' to each side of the equation. 10 + -10 + -6m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -8 + -10 -6m = -8 + -10 Combine like terms: -8 + -10 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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