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Simplifying 5m + 2m + -1 = 8m + 13 + -5m Reorder the terms: -1 + 5m + 2m = 8m + 13 + -5m Combine like terms: 5m + 2m = 7m -1 + 7m = 8m + 13 + -5m Reorder the terms: -1 + 7m = 13 + 8m + -5m Combine like terms: 8m + -5m = 3m -1 + 7m = 13 + 3m Solving -1 + 7m = 13 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -1 + 7m + -3m = 13 + 3m + -3m Combine like terms: 7m + -3m = 4m -1 + 4m = 13 + 3m + -3m Combine like terms: 3m + -3m = 0 -1 + 4m = 13 + 0 -1 + 4m = 13 Add '1' to each side of the equation. -1 + 1 + 4m = 13 + 1 Combine like terms: -1 + 1 = 0 0 + 4m = 13 + 1 4m = 13 + 1 Combine like terms: 13 + 1 = 14 4m = 14 Divide each side by '4'. m = 3.5 Simplifying m = 3.5
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