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Simplifying 14 = 7(8 + 7n) + 6(-4n + -7) 14 = (8 * 7 + 7n * 7) + 6(-4n + -7) 14 = (56 + 49n) + 6(-4n + -7) Reorder the terms: 14 = 56 + 49n + 6(-7 + -4n) 14 = 56 + 49n + (-7 * 6 + -4n * 6) 14 = 56 + 49n + (-42 + -24n) Reorder the terms: 14 = 56 + -42 + 49n + -24n Combine like terms: 56 + -42 = 14 14 = 14 + 49n + -24n Combine like terms: 49n + -24n = 25n 14 = 14 + 25n Add '-14' to each side of the equation. 14 + -14 = 14 + -14 + 25n Combine like terms: 14 + -14 = 0 0 = 14 + -14 + 25n Combine like terms: 14 + -14 = 0 0 = 0 + 25n 0 = 25n Solving 0 = 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 0 + -25n = 25n + -25n Remove the zero: -25n = 25n + -25n Combine like terms: 25n + -25n = 0 -25n = 0 Divide each side by '-25'. n = 0 Simplifying n = 0
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