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Simplifying -2m + -13 = 8(4 + -1m) + -3m Reorder the terms: -13 + -2m = 8(4 + -1m) + -3m -13 + -2m = (4 * 8 + -1m * 8) + -3m -13 + -2m = (32 + -8m) + -3m Combine like terms: -8m + -3m = -11m -13 + -2m = 32 + -11m Solving -13 + -2m = 32 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. -13 + -2m + 11m = 32 + -11m + 11m Combine like terms: -2m + 11m = 9m -13 + 9m = 32 + -11m + 11m Combine like terms: -11m + 11m = 0 -13 + 9m = 32 + 0 -13 + 9m = 32 Add '13' to each side of the equation. -13 + 13 + 9m = 32 + 13 Combine like terms: -13 + 13 = 0 0 + 9m = 32 + 13 9m = 32 + 13 Combine like terms: 32 + 13 = 45 9m = 45 Divide each side by '9'. m = 5 Simplifying m = 5
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