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Simplifying 5m + 1 = 8 + -2m Reorder the terms: 1 + 5m = 8 + -2m Solving 1 + 5m = 8 + -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 + 5m + 2m = 8 + -2m + 2m Combine like terms: 5m + 2m = 7m 1 + 7m = 8 + -2m + 2m Combine like terms: -2m + 2m = 0 1 + 7m = 8 + 0 1 + 7m = 8 Add '-1' to each side of the equation. 1 + -1 + 7m = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7m = 8 + -1 7m = 8 + -1 Combine like terms: 8 + -1 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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