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Simplifying 5m + -13 = -40 + 2m Reorder the terms: -13 + 5m = -40 + 2m Solving -13 + 5m = -40 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -13 + 5m + -2m = -40 + 2m + -2m Combine like terms: 5m + -2m = 3m -13 + 3m = -40 + 2m + -2m Combine like terms: 2m + -2m = 0 -13 + 3m = -40 + 0 -13 + 3m = -40 Add '13' to each side of the equation. -13 + 13 + 3m = -40 + 13 Combine like terms: -13 + 13 = 0 0 + 3m = -40 + 13 3m = -40 + 13 Combine like terms: -40 + 13 = -27 3m = -27 Divide each side by '3'. m = -9 Simplifying m = -9
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