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Simplifying -7n + 14 = 5(1 + -2n) Reorder the terms: 14 + -7n = 5(1 + -2n) 14 + -7n = (1 * 5 + -2n * 5) 14 + -7n = (5 + -10n) Solving 14 + -7n = 5 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 14 + -7n + 10n = 5 + -10n + 10n Combine like terms: -7n + 10n = 3n 14 + 3n = 5 + -10n + 10n Combine like terms: -10n + 10n = 0 14 + 3n = 5 + 0 14 + 3n = 5 Add '-14' to each side of the equation. 14 + -14 + 3n = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = 5 + -14 3n = 5 + -14 Combine like terms: 5 + -14 = -9 3n = -9 Divide each side by '3'. n = -3 Simplifying n = -3
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