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Simplifying -1(m + -6) = 3m + 14 Reorder the terms: -1(-6 + m) = 3m + 14 (-6 * -1 + m * -1) = 3m + 14 (6 + -1m) = 3m + 14 Reorder the terms: 6 + -1m = 14 + 3m Solving 6 + -1m = 14 + 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 + -1m + -3m = 14 + 3m + -3m Combine like terms: -1m + -3m = -4m 6 + -4m = 14 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -4m = 14 + 0 6 + -4m = 14 Add '-6' to each side of the equation. 6 + -6 + -4m = 14 + -6 Combine like terms: 6 + -6 = 0 0 + -4m = 14 + -6 -4m = 14 + -6 Combine like terms: 14 + -6 = 8 -4m = 8 Divide each side by '-4'. m = -2 Simplifying m = -2
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