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Simplifying 7 + 4m + -5 = 9m + 10 + -3m Reorder the terms: 7 + -5 + 4m = 9m + 10 + -3m Combine like terms: 7 + -5 = 2 2 + 4m = 9m + 10 + -3m Reorder the terms: 2 + 4m = 10 + 9m + -3m Combine like terms: 9m + -3m = 6m 2 + 4m = 10 + 6m Solving 2 + 4m = 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. 2 + 4m + -6m = 10 + 6m + -6m Combine like terms: 4m + -6m = -2m 2 + -2m = 10 + 6m + -6m Combine like terms: 6m + -6m = 0 2 + -2m = 10 + 0 2 + -2m = 10 Add '-2' to each side of the equation. 2 + -2 + -2m = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2m = 10 + -2 -2m = 10 + -2 Combine like terms: 10 + -2 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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