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Simplifying 3m + -13 = -8m + 27 Reorder the terms: -13 + 3m = -8m + 27 Reorder the terms: -13 + 3m = 27 + -8m Solving -13 + 3m = 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 + 3m + 8m = 27 + -8m + 8m Combine like terms: 3m + 8m = 11m -13 + 11m = 27 + -8m + 8m Combine like terms: -8m + 8m = 0 -13 + 11m = 27 + 0 -13 + 11m = 27 Add '13' to each side of the equation. -13 + 13 + 11m = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 11m = 27 + 13 11m = 27 + 13 Combine like terms: 27 + 13 = 40 11m = 40 Divide each side by '11'. m = 3.636363636 Simplifying m = 3.636363636
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