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Simplifying 14n + 90 = 12(n + -25) + 500 Reorder the terms: 90 + 14n = 12(n + -25) + 500 Reorder the terms: 90 + 14n = 12(-25 + n) + 500 90 + 14n = (-25 * 12 + n * 12) + 500 90 + 14n = (-300 + 12n) + 500 Reorder the terms: 90 + 14n = -300 + 500 + 12n Combine like terms: -300 + 500 = 200 90 + 14n = 200 + 12n Solving 90 + 14n = 200 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 90 + 14n + -12n = 200 + 12n + -12n Combine like terms: 14n + -12n = 2n 90 + 2n = 200 + 12n + -12n Combine like terms: 12n + -12n = 0 90 + 2n = 200 + 0 90 + 2n = 200 Add '-90' to each side of the equation. 90 + -90 + 2n = 200 + -90 Combine like terms: 90 + -90 = 0 0 + 2n = 200 + -90 2n = 200 + -90 Combine like terms: 200 + -90 = 110 2n = 110 Divide each side by '2'. n = 55 Simplifying n = 55
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