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Simplifying 8 + 2m + -5 = 6m + 4 + -3m Reorder the terms: 8 + -5 + 2m = 6m + 4 + -3m Combine like terms: 8 + -5 = 3 3 + 2m = 6m + 4 + -3m Reorder the terms: 3 + 2m = 4 + 6m + -3m Combine like terms: 6m + -3m = 3m 3 + 2m = 4 + 3m Solving 3 + 2m = 4 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 3 + 2m + -3m = 4 + 3m + -3m Combine like terms: 2m + -3m = -1m 3 + -1m = 4 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + -1m = 4 + 0 3 + -1m = 4 Add '-3' to each side of the equation. 3 + -3 + -1m = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 4 + -3 -1m = 4 + -3 Combine like terms: 4 + -3 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1
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