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Simplifying 6 + 3m + -4 = 9m + 5 + -3m Reorder the terms: 6 + -4 + 3m = 9m + 5 + -3m Combine like terms: 6 + -4 = 2 2 + 3m = 9m + 5 + -3m Reorder the terms: 2 + 3m = 5 + 9m + -3m Combine like terms: 9m + -3m = 6m 2 + 3m = 5 + 6m Solving 2 + 3m = 5 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 2 + 3m + -6m = 5 + 6m + -6m Combine like terms: 3m + -6m = -3m 2 + -3m = 5 + 6m + -6m Combine like terms: 6m + -6m = 0 2 + -3m = 5 + 0 2 + -3m = 5 Add '-2' to each side of the equation. 2 + -2 + -3m = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 5 + -2 -3m = 5 + -2 Combine like terms: 5 + -2 = 3 -3m = 3 Divide each side by '-3'. m = -1 Simplifying m = -1
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