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Simplifying -5m + 4m + 2 = 5m + 8 Reorder the terms: 2 + -5m + 4m = 5m + 8 Combine like terms: -5m + 4m = -1m 2 + -1m = 5m + 8 Reorder the terms: 2 + -1m = 8 + 5m Solving 2 + -1m = 8 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 2 + -1m + -5m = 8 + 5m + -5m Combine like terms: -1m + -5m = -6m 2 + -6m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 2 + -6m = 8 + 0 2 + -6m = 8 Add '-2' to each side of the equation. 2 + -2 + -6m = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6m = 8 + -2 -6m = 8 + -2 Combine like terms: 8 + -2 = 6 -6m = 6 Divide each side by '-6'. m = -1 Simplifying m = -1
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