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Simplifying 14 + -1(5m + 8) = 2 + 3m + -12 Reorder the terms: 14 + -1(8 + 5m) = 2 + 3m + -12 14 + (8 * -1 + 5m * -1) = 2 + 3m + -12 14 + (-8 + -5m) = 2 + 3m + -12 Combine like terms: 14 + -8 = 6 6 + -5m = 2 + 3m + -12 Reorder the terms: 6 + -5m = 2 + -12 + 3m Combine like terms: 2 + -12 = -10 6 + -5m = -10 + 3m Solving 6 + -5m = -10 + 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 + -5m + -3m = -10 + 3m + -3m Combine like terms: -5m + -3m = -8m 6 + -8m = -10 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -8m = -10 + 0 6 + -8m = -10 Add '-6' to each side of the equation. 6 + -6 + -8m = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8m = -10 + -6 -8m = -10 + -6 Combine like terms: -10 + -6 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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