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Simplifying 8m + 3 + -3m = 18 + 2m + 6 Reorder the terms: 3 + 8m + -3m = 18 + 2m + 6 Combine like terms: 8m + -3m = 5m 3 + 5m = 18 + 2m + 6 Reorder the terms: 3 + 5m = 18 + 6 + 2m Combine like terms: 18 + 6 = 24 3 + 5m = 24 + 2m Solving 3 + 5m = 24 + 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. 3 + 5m + -2m = 24 + 2m + -2m Combine like terms: 5m + -2m = 3m 3 + 3m = 24 + 2m + -2m Combine like terms: 2m + -2m = 0 3 + 3m = 24 + 0 3 + 3m = 24 Add '-3' to each side of the equation. 3 + -3 + 3m = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3m = 24 + -3 3m = 24 + -3 Combine like terms: 24 + -3 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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