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Simplifying 6m + -12 + 14 = 3m + 6 + -10 Reorder the terms: -12 + 14 + 6m = 3m + 6 + -10 Combine like terms: -12 + 14 = 2 2 + 6m = 3m + 6 + -10 Reorder the terms: 2 + 6m = 6 + -10 + 3m Combine like terms: 6 + -10 = -4 2 + 6m = -4 + 3m Solving 2 + 6m = -4 + 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. 2 + 6m + -3m = -4 + 3m + -3m Combine like terms: 6m + -3m = 3m 2 + 3m = -4 + 3m + -3m Combine like terms: 3m + -3m = 0 2 + 3m = -4 + 0 2 + 3m = -4 Add '-2' to each side of the equation. 2 + -2 + 3m = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = -4 + -2 3m = -4 + -2 Combine like terms: -4 + -2 = -6 3m = -6 Divide each side by '3'. m = -2 Simplifying m = -2
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