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Simplifying 6m + -2m + 4 = -3m + 100 + -9m Reorder the terms: 4 + 6m + -2m = -3m + 100 + -9m Combine like terms: 6m + -2m = 4m 4 + 4m = -3m + 100 + -9m Reorder the terms: 4 + 4m = 100 + -3m + -9m Combine like terms: -3m + -9m = -12m 4 + 4m = 100 + -12m Solving 4 + 4m = 100 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 4 + 4m + 12m = 100 + -12m + 12m Combine like terms: 4m + 12m = 16m 4 + 16m = 100 + -12m + 12m Combine like terms: -12m + 12m = 0 4 + 16m = 100 + 0 4 + 16m = 100 Add '-4' to each side of the equation. 4 + -4 + 16m = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 16m = 100 + -4 16m = 100 + -4 Combine like terms: 100 + -4 = 96 16m = 96 Divide each side by '16'. m = 6 Simplifying m = 6
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