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Simplifying 8m + -3 + -3m = 12 + 2m Reorder the terms: -3 + 8m + -3m = 12 + 2m Combine like terms: 8m + -3m = 5m -3 + 5m = 12 + 2m Solving -3 + 5m = 12 + 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 = 12 + 2m + -2m Combine like terms: 5m + -2m = 3m -3 + 3m = 12 + 2m + -2m Combine like terms: 2m + -2m = 0 -3 + 3m = 12 + 0 -3 + 3m = 12 Add '3' to each side of the equation. -3 + 3 + 3m = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3m = 12 + 3 3m = 12 + 3 Combine like terms: 12 + 3 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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