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Simplifying 14 + -1(2m + 6) = 2 + 4m + -12 Reorder the terms: 14 + -1(6 + 2m) = 2 + 4m + -12 14 + (6 * -1 + 2m * -1) = 2 + 4m + -12 14 + (-6 + -2m) = 2 + 4m + -12 Combine like terms: 14 + -6 = 8 8 + -2m = 2 + 4m + -12 Reorder the terms: 8 + -2m = 2 + -12 + 4m Combine like terms: 2 + -12 = -10 8 + -2m = -10 + 4m Solving 8 + -2m = -10 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 8 + -2m + -4m = -10 + 4m + -4m Combine like terms: -2m + -4m = -6m 8 + -6m = -10 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -6m = -10 + 0 8 + -6m = -10 Add '-8' to each side of the equation. 8 + -8 + -6m = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6m = -10 + -8 -6m = -10 + -8 Combine like terms: -10 + -8 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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