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Simplifying 5m + -2m + 1 = 8m + 2 Reorder the terms: 1 + 5m + -2m = 8m + 2 Combine like terms: 5m + -2m = 3m 1 + 3m = 8m + 2 Reorder the terms: 1 + 3m = 2 + 8m Solving 1 + 3m = 2 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 1 + 3m + -8m = 2 + 8m + -8m Combine like terms: 3m + -8m = -5m 1 + -5m = 2 + 8m + -8m Combine like terms: 8m + -8m = 0 1 + -5m = 2 + 0 1 + -5m = 2 Add '-1' to each side of the equation. 1 + -1 + -5m = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -5m = 2 + -1 -5m = 2 + -1 Combine like terms: 2 + -1 = 1 -5m = 1 Divide each side by '-5'. m = -0.2 Simplifying m = -0.2
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