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Simplifying 8(4n + 14) = 6n Reorder the terms: 8(14 + 4n) = 6n (14 * 8 + 4n * 8) = 6n (112 + 32n) = 6n Solving 112 + 32n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 112 + 32n + -6n = 6n + -6n Combine like terms: 32n + -6n = 26n 112 + 26n = 6n + -6n Combine like terms: 6n + -6n = 0 112 + 26n = 0 Add '-112' to each side of the equation. 112 + -112 + 26n = 0 + -112 Combine like terms: 112 + -112 = 0 0 + 26n = 0 + -112 26n = 0 + -112 Combine like terms: 0 + -112 = -112 26n = -112 Divide each side by '26'. n = -4.307692308 Simplifying n = -4.307692308
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