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Simplifying 4m + -12 = 13m + -42 Reorder the terms: -12 + 4m = 13m + -42 Reorder the terms: -12 + 4m = -42 + 13m Solving -12 + 4m = -42 + 13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13m' to each side of the equation. -12 + 4m + -13m = -42 + 13m + -13m Combine like terms: 4m + -13m = -9m -12 + -9m = -42 + 13m + -13m Combine like terms: 13m + -13m = 0 -12 + -9m = -42 + 0 -12 + -9m = -42 Add '12' to each side of the equation. -12 + 12 + -9m = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -9m = -42 + 12 -9m = -42 + 12 Combine like terms: -42 + 12 = -30 -9m = -30 Divide each side by '-9'. m = 3.333333333 Simplifying m = 3.333333333
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