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Simplifying 13 + -1(2m + 8) = 4 + 4m + -11 Reorder the terms: 13 + -1(8 + 2m) = 4 + 4m + -11 13 + (8 * -1 + 2m * -1) = 4 + 4m + -11 13 + (-8 + -2m) = 4 + 4m + -11 Combine like terms: 13 + -8 = 5 5 + -2m = 4 + 4m + -11 Reorder the terms: 5 + -2m = 4 + -11 + 4m Combine like terms: 4 + -11 = -7 5 + -2m = -7 + 4m Solving 5 + -2m = -7 + 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. 5 + -2m + -4m = -7 + 4m + -4m Combine like terms: -2m + -4m = -6m 5 + -6m = -7 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + -6m = -7 + 0 5 + -6m = -7 Add '-5' to each side of the equation. 5 + -5 + -6m = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -6m = -7 + -5 -6m = -7 + -5 Combine like terms: -7 + -5 = -12 -6m = -12 Divide each side by '-6'. m = 2 Simplifying m = 2
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