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Simplifying -13 + -5m = 2m + -3(7m + -5) Reorder the terms: -13 + -5m = 2m + -3(-5 + 7m) -13 + -5m = 2m + (-5 * -3 + 7m * -3) -13 + -5m = 2m + (15 + -21m) Reorder the terms: -13 + -5m = 15 + 2m + -21m Combine like terms: 2m + -21m = -19m -13 + -5m = 15 + -19m Solving -13 + -5m = 15 + -19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '19m' to each side of the equation. -13 + -5m + 19m = 15 + -19m + 19m Combine like terms: -5m + 19m = 14m -13 + 14m = 15 + -19m + 19m Combine like terms: -19m + 19m = 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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