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Simplifying 8 + 2m + -2 = 8m + 12 + -5m Reorder the terms: 8 + -2 + 2m = 8m + 12 + -5m Combine like terms: 8 + -2 = 6 6 + 2m = 8m + 12 + -5m Reorder the terms: 6 + 2m = 12 + 8m + -5m Combine like terms: 8m + -5m = 3m 6 + 2m = 12 + 3m Solving 6 + 2m = 12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + 2m + -3m = 12 + 3m + -3m Combine like terms: 2m + -3m = -1m 6 + -1m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -1m = 12 + 0 6 + -1m = 12 Add '-6' to each side of the equation. 6 + -6 + -1m = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 12 + -6 -1m = 12 + -6 Combine like terms: 12 + -6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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