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Simplifying -5m + 6 + -3m + 3 = 2m + -6m + 8 + -8m + 9 Reorder the terms: 6 + 3 + -5m + -3m = 2m + -6m + 8 + -8m + 9 Combine like terms: 6 + 3 = 9 9 + -5m + -3m = 2m + -6m + 8 + -8m + 9 Combine like terms: -5m + -3m = -8m 9 + -8m = 2m + -6m + 8 + -8m + 9 Reorder the terms: 9 + -8m = 8 + 9 + 2m + -6m + -8m Combine like terms: 8 + 9 = 17 9 + -8m = 17 + 2m + -6m + -8m Combine like terms: 2m + -6m = -4m 9 + -8m = 17 + -4m + -8m Combine like terms: -4m + -8m = -12m 9 + -8m = 17 + -12m Solving 9 + -8m = 17 + -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. 9 + -8m + 12m = 17 + -12m + 12m Combine like terms: -8m + 12m = 4m 9 + 4m = 17 + -12m + 12m Combine like terms: -12m + 12m = 0 9 + 4m = 17 + 0 9 + 4m = 17 Add '-9' to each side of the equation. 9 + -9 + 4m = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 4m = 17 + -9 4m = 17 + -9 Combine like terms: 17 + -9 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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