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Simplifying -13 + 2m = 3(2m + 5) Reorder the terms: -13 + 2m = 3(5 + 2m) -13 + 2m = (5 * 3 + 2m * 3) -13 + 2m = (15 + 6m) Solving -13 + 2m = 15 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -13 + 2m + -6m = 15 + 6m + -6m Combine like terms: 2m + -6m = -4m -13 + -4m = 15 + 6m + -6m Combine like terms: 6m + -6m = 0 -13 + -4m = 15 + 0 -13 + -4m = 15 Add '13' to each side of the equation. -13 + 13 + -4m = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -4m = 15 + 13 -4m = 15 + 13 Combine like terms: 15 + 13 = 28 -4m = 28 Divide each side by '-4'. m = -7 Simplifying m = -7
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