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Simplifying 12m + -13 = 8m + 27 Reorder the terms: -13 + 12m = 8m + 27 Reorder the terms: -13 + 12m = 27 + 8m Solving -13 + 12m = 27 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -13 + 12m + -8m = 27 + 8m + -8m Combine like terms: 12m + -8m = 4m -13 + 4m = 27 + 8m + -8m Combine like terms: 8m + -8m = 0 -13 + 4m = 27 + 0 -13 + 4m = 27 Add '13' to each side of the equation. -13 + 13 + 4m = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 4m = 27 + 13 4m = 27 + 13 Combine like terms: 27 + 13 = 40 4m = 40 Divide each side by '4'. m = 10 Simplifying m = 10
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