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Simplifying 13 + -3m + -14 = 6m + 9 + -4m Reorder the terms: 13 + -14 + -3m = 6m + 9 + -4m Combine like terms: 13 + -14 = -1 -1 + -3m = 6m + 9 + -4m Reorder the terms: -1 + -3m = 9 + 6m + -4m Combine like terms: 6m + -4m = 2m -1 + -3m = 9 + 2m Solving -1 + -3m = 9 + 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. -1 + -3m + -2m = 9 + 2m + -2m Combine like terms: -3m + -2m = -5m -1 + -5m = 9 + 2m + -2m Combine like terms: 2m + -2m = 0 -1 + -5m = 9 + 0 -1 + -5m = 9 Add '1' to each side of the equation. -1 + 1 + -5m = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5m = 9 + 1 -5m = 9 + 1 Combine like terms: 9 + 1 = 10 -5m = 10 Divide each side by '-5'. m = -2 Simplifying m = -2
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