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Simplifying 4 + 3m + -1 = 8m + 7 + -3m Reorder the terms: 4 + -1 + 3m = 8m + 7 + -3m Combine like terms: 4 + -1 = 3 3 + 3m = 8m + 7 + -3m Reorder the terms: 3 + 3m = 7 + 8m + -3m Combine like terms: 8m + -3m = 5m 3 + 3m = 7 + 5m Solving 3 + 3m = 7 + 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. 3 + 3m + -5m = 7 + 5m + -5m Combine like terms: 3m + -5m = -2m 3 + -2m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -2m = 7 + 0 3 + -2m = 7 Add '-3' to each side of the equation. 3 + -3 + -2m = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 7 + -3 -2m = 7 + -3 Combine like terms: 7 + -3 = 4 -2m = 4 Divide each side by '-2'. m = -2 Simplifying m = -2
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