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Simplifying 5m + -8 = 2m + 13 Reorder the terms: -8 + 5m = 2m + 13 Reorder the terms: -8 + 5m = 13 + 2m Solving -8 + 5m = 13 + 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. -8 + 5m + -2m = 13 + 2m + -2m Combine like terms: 5m + -2m = 3m -8 + 3m = 13 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + 3m = 13 + 0 -8 + 3m = 13 Add '8' to each side of the equation. -8 + 8 + 3m = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 3m = 13 + 8 3m = 13 + 8 Combine like terms: 13 + 8 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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