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Simplifying 5 + 3m + -4 = 5m + 9 + -3m Reorder the terms: 5 + -4 + 3m = 5m + 9 + -3m Combine like terms: 5 + -4 = 1 1 + 3m = 5m + 9 + -3m Reorder the terms: 1 + 3m = 9 + 5m + -3m Combine like terms: 5m + -3m = 2m 1 + 3m = 9 + 2m Solving 1 + 3m = 9 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 1 + 3m + -2m = 9 + 2m + -2m Combine like terms: 3m + -2m = 1m 1 + 1m = 9 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 1m = 9 + 0 1 + 1m = 9 Add '-1' to each side of the equation. 1 + -1 + 1m = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1m = 9 + -1 1m = 9 + -1 Combine like terms: 9 + -1 = 8 1m = 8 Divide each side by '1'. m = 8 Simplifying m = 8
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