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Simplifying 13 + -1(4m + 5) = 5 + 2m + -15 Reorder the terms: 13 + -1(5 + 4m) = 5 + 2m + -15 13 + (5 * -1 + 4m * -1) = 5 + 2m + -15 13 + (-5 + -4m) = 5 + 2m + -15 Combine like terms: 13 + -5 = 8 8 + -4m = 5 + 2m + -15 Reorder the terms: 8 + -4m = 5 + -15 + 2m Combine like terms: 5 + -15 = -10 8 + -4m = -10 + 2m Solving 8 + -4m = -10 + 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. 8 + -4m + -2m = -10 + 2m + -2m Combine like terms: -4m + -2m = -6m 8 + -6m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -6m = -10 + 0 8 + -6m = -10 Add '-8' to each side of the equation. 8 + -8 + -6m = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6m = -10 + -8 -6m = -10 + -8 Combine like terms: -10 + -8 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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