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Simplifying -3m + 10 + 2m + -7 = 4m + 8 Reorder the terms: 10 + -7 + -3m + 2m = 4m + 8 Combine like terms: 10 + -7 = 3 3 + -3m + 2m = 4m + 8 Combine like terms: -3m + 2m = -1m 3 + -1m = 4m + 8 Reorder the terms: 3 + -1m = 8 + 4m Solving 3 + -1m = 8 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 3 + -1m + -4m = 8 + 4m + -4m Combine like terms: -1m + -4m = -5m 3 + -5m = 8 + 4m + -4m Combine like terms: 4m + -4m = 0 3 + -5m = 8 + 0 3 + -5m = 8 Add '-3' to each side of the equation. 3 + -3 + -5m = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 8 + -3 -5m = 8 + -3 Combine like terms: 8 + -3 = 5 -5m = 5 Divide each side by '-5'. m = -1 Simplifying m = -1
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