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Simplifying 8 + 2m + -6 = 8m + 14 + -3m Reorder the terms: 8 + -6 + 2m = 8m + 14 + -3m Combine like terms: 8 + -6 = 2 2 + 2m = 8m + 14 + -3m Reorder the terms: 2 + 2m = 14 + 8m + -3m Combine like terms: 8m + -3m = 5m 2 + 2m = 14 + 5m Solving 2 + 2m = 14 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 2 + 2m + -5m = 14 + 5m + -5m Combine like terms: 2m + -5m = -3m 2 + -3m = 14 + 5m + -5m Combine like terms: 5m + -5m = 0 2 + -3m = 14 + 0 2 + -3m = 14 Add '-2' to each side of the equation. 2 + -2 + -3m = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 14 + -2 -3m = 14 + -2 Combine like terms: 14 + -2 = 12 -3m = 12 Divide each side by '-3'. m = -4 Simplifying m = -4
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