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Simplifying 9 + 8m + -7 = 6m + 32 + -4m Reorder the terms: 9 + -7 + 8m = 6m + 32 + -4m Combine like terms: 9 + -7 = 2 2 + 8m = 6m + 32 + -4m Reorder the terms: 2 + 8m = 32 + 6m + -4m Combine like terms: 6m + -4m = 2m 2 + 8m = 32 + 2m Solving 2 + 8m = 32 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 2 + 8m + -2m = 32 + 2m + -2m Combine like terms: 8m + -2m = 6m 2 + 6m = 32 + 2m + -2m Combine like terms: 2m + -2m = 0 2 + 6m = 32 + 0 2 + 6m = 32 Add '-2' to each side of the equation. 2 + -2 + 6m = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6m = 32 + -2 6m = 32 + -2 Combine like terms: 32 + -2 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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