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Simplifying -13 + 4m = 2m + 3(5 + -4m) -13 + 4m = 2m + (5 * 3 + -4m * 3) -13 + 4m = 2m + (15 + -12m) Reorder the terms: -13 + 4m = 15 + 2m + -12m Combine like terms: 2m + -12m = -10m -13 + 4m = 15 + -10m Solving -13 + 4m = 15 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. -13 + 4m + 10m = 15 + -10m + 10m Combine like terms: 4m + 10m = 14m -13 + 14m = 15 + -10m + 10m Combine like terms: -10m + 10m = 0 -13 + 14m = 15 + 0 -13 + 14m = 15 Add '13' to each side of the equation. -13 + 13 + 14m = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 14m = 15 + 13 14m = 15 + 13 Combine like terms: 15 + 13 = 28 14m = 28 Divide each side by '14'. m = 2 Simplifying m = 2
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