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Simplifying -13 = 4(5m + 3) + 5(8m + -5) Reorder the terms: -13 = 4(3 + 5m) + 5(8m + -5) -13 = (3 * 4 + 5m * 4) + 5(8m + -5) -13 = (12 + 20m) + 5(8m + -5) Reorder the terms: -13 = 12 + 20m + 5(-5 + 8m) -13 = 12 + 20m + (-5 * 5 + 8m * 5) -13 = 12 + 20m + (-25 + 40m) Reorder the terms: -13 = 12 + -25 + 20m + 40m Combine like terms: 12 + -25 = -13 -13 = -13 + 20m + 40m Combine like terms: 20m + 40m = 60m -13 = -13 + 60m Add '13' to each side of the equation. -13 + 13 = -13 + 13 + 60m Combine like terms: -13 + 13 = 0 0 = -13 + 13 + 60m Combine like terms: -13 + 13 = 0 0 = 0 + 60m 0 = 60m Solving 0 = 60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-60m' to each side of the equation. 0 + -60m = 60m + -60m Remove the zero: -60m = 60m + -60m Combine like terms: 60m + -60m = 0 -60m = 0 Divide each side by '-60'. m = 0 Simplifying m = 0
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