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Simplifying 9 + 4m + -6 = 9m + 19 + -3m Reorder the terms: 9 + -6 + 4m = 9m + 19 + -3m Combine like terms: 9 + -6 = 3 3 + 4m = 9m + 19 + -3m Reorder the terms: 3 + 4m = 19 + 9m + -3m Combine like terms: 9m + -3m = 6m 3 + 4m = 19 + 6m Solving 3 + 4m = 19 + 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. 3 + 4m + -6m = 19 + 6m + -6m Combine like terms: 4m + -6m = -2m 3 + -2m = 19 + 6m + -6m Combine like terms: 6m + -6m = 0 3 + -2m = 19 + 0 3 + -2m = 19 Add '-3' to each side of the equation. 3 + -3 + -2m = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 19 + -3 -2m = 19 + -3 Combine like terms: 19 + -3 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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