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Simplifying 14 + 6n = 8(3n + 4) Reorder the terms: 14 + 6n = 8(4 + 3n) 14 + 6n = (4 * 8 + 3n * 8) 14 + 6n = (32 + 24n) Solving 14 + 6n = 32 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 14 + 6n + -24n = 32 + 24n + -24n Combine like terms: 6n + -24n = -18n 14 + -18n = 32 + 24n + -24n Combine like terms: 24n + -24n = 0 14 + -18n = 32 + 0 14 + -18n = 32 Add '-14' to each side of the equation. 14 + -14 + -18n = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -18n = 32 + -14 -18n = 32 + -14 Combine like terms: 32 + -14 = 18 -18n = 18 Divide each side by '-18'. n = -1 Simplifying n = -1
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