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Simplifying 5 + 3m + -4 = 9m + 10 + -3m Reorder the terms: 5 + -4 + 3m = 9m + 10 + -3m Combine like terms: 5 + -4 = 1 1 + 3m = 9m + 10 + -3m Reorder the terms: 1 + 3m = 10 + 9m + -3m Combine like terms: 9m + -3m = 6m 1 + 3m = 10 + 6m Solving 1 + 3m = 10 + 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. 1 + 3m + -6m = 10 + 6m + -6m Combine like terms: 3m + -6m = -3m 1 + -3m = 10 + 6m + -6m Combine like terms: 6m + -6m = 0 1 + -3m = 10 + 0 1 + -3m = 10 Add '-1' to each side of the equation. 1 + -1 + -3m = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 10 + -1 -3m = 10 + -1 Combine like terms: 10 + -1 = 9 -3m = 9 Divide each side by '-3'. m = -3 Simplifying m = -3
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