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Simplifying 6n + 5(1 + -6n) = 2(2n + -14) 6n + (1 * 5 + -6n * 5) = 2(2n + -14) 6n + (5 + -30n) = 2(2n + -14) Reorder the terms: 5 + 6n + -30n = 2(2n + -14) Combine like terms: 6n + -30n = -24n 5 + -24n = 2(2n + -14) Reorder the terms: 5 + -24n = 2(-14 + 2n) 5 + -24n = (-14 * 2 + 2n * 2) 5 + -24n = (-28 + 4n) Solving 5 + -24n = -28 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + -24n + -4n = -28 + 4n + -4n Combine like terms: -24n + -4n = -28n 5 + -28n = -28 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -28n = -28 + 0 5 + -28n = -28 Add '-5' to each side of the equation. 5 + -5 + -28n = -28 + -5 Combine like terms: 5 + -5 = 0 0 + -28n = -28 + -5 -28n = -28 + -5 Combine like terms: -28 + -5 = -33 -28n = -33 Divide each side by '-28'. n = 1.178571429 Simplifying n = 1.178571429
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