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Simplifying -7(7n + -2) + n = 14 + -5n Reorder the terms: -7(-2 + 7n) + n = 14 + -5n (-2 * -7 + 7n * -7) + n = 14 + -5n (14 + -49n) + n = 14 + -5n Combine like terms: -49n + n = -48n 14 + -48n = 14 + -5n Add '-14' to each side of the equation. 14 + -14 + -48n = 14 + -14 + -5n Combine like terms: 14 + -14 = 0 0 + -48n = 14 + -14 + -5n -48n = 14 + -14 + -5n Combine like terms: 14 + -14 = 0 -48n = 0 + -5n -48n = -5n Solving -48n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -48n + 5n = -5n + 5n Combine like terms: -48n + 5n = -43n -43n = -5n + 5n Combine like terms: -5n + 5n = 0 -43n = 0 Divide each side by '-43'. n = 0 Simplifying n = 0
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