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Simplifying -5(2n + -2) + 7n = -14 + -7n Reorder the terms: -5(-2 + 2n) + 7n = -14 + -7n (-2 * -5 + 2n * -5) + 7n = -14 + -7n (10 + -10n) + 7n = -14 + -7n Combine like terms: -10n + 7n = -3n 10 + -3n = -14 + -7n Solving 10 + -3n = -14 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 10 + -3n + 7n = -14 + -7n + 7n Combine like terms: -3n + 7n = 4n 10 + 4n = -14 + -7n + 7n Combine like terms: -7n + 7n = 0 10 + 4n = -14 + 0 10 + 4n = -14 Add '-10' to each side of the equation. 10 + -10 + 4n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = -14 + -10 4n = -14 + -10 Combine like terms: -14 + -10 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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