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Simplifying 5 + 4m + -4 = 6m + 7 + -3m Reorder the terms: 5 + -4 + 4m = 6m + 7 + -3m Combine like terms: 5 + -4 = 1 1 + 4m = 6m + 7 + -3m Reorder the terms: 1 + 4m = 7 + 6m + -3m Combine like terms: 6m + -3m = 3m 1 + 4m = 7 + 3m Solving 1 + 4m = 7 + 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. 1 + 4m + -3m = 7 + 3m + -3m Combine like terms: 4m + -3m = 1m 1 + 1m = 7 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 1m = 7 + 0 1 + 1m = 7 Add '-1' to each side of the equation. 1 + -1 + 1m = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1m = 7 + -1 1m = 7 + -1 Combine like terms: 7 + -1 = 6 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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