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Simplifying 7m + -2(m + -3) = 3m + -14 Reorder the terms: 7m + -2(-3 + m) = 3m + -14 7m + (-3 * -2 + m * -2) = 3m + -14 7m + (6 + -2m) = 3m + -14 Reorder the terms: 6 + 7m + -2m = 3m + -14 Combine like terms: 7m + -2m = 5m 6 + 5m = 3m + -14 Reorder the terms: 6 + 5m = -14 + 3m Solving 6 + 5m = -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 + 5m + -3m = -14 + 3m + -3m Combine like terms: 5m + -3m = 2m 6 + 2m = -14 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + 2m = -14 + 0 6 + 2m = -14 Add '-6' to each side of the equation. 6 + -6 + 2m = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 2m = -14 + -6 2m = -14 + -6 Combine like terms: -14 + -6 = -20 2m = -20 Divide each side by '2'. m = -10 Simplifying m = -10
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