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Simplifying 5m + -3m + 13 = -4m + 37 Reorder the terms: 13 + 5m + -3m = -4m + 37 Combine like terms: 5m + -3m = 2m 13 + 2m = -4m + 37 Reorder the terms: 13 + 2m = 37 + -4m Solving 13 + 2m = 37 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 13 + 2m + 4m = 37 + -4m + 4m Combine like terms: 2m + 4m = 6m 13 + 6m = 37 + -4m + 4m Combine like terms: -4m + 4m = 0 13 + 6m = 37 + 0 13 + 6m = 37 Add '-13' to each side of the equation. 13 + -13 + 6m = 37 + -13 Combine like terms: 13 + -13 = 0 0 + 6m = 37 + -13 6m = 37 + -13 Combine like terms: 37 + -13 = 24 6m = 24 Divide each side by '6'. m = 4 Simplifying m = 4
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