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Simplifying 25(n + -1) + 100 = 5(2n + 2) Reorder the terms: 25(-1 + n) + 100 = 5(2n + 2) (-1 * 25 + n * 25) + 100 = 5(2n + 2) (-25 + 25n) + 100 = 5(2n + 2) Reorder the terms: -25 + 100 + 25n = 5(2n + 2) Combine like terms: -25 + 100 = 75 75 + 25n = 5(2n + 2) Reorder the terms: 75 + 25n = 5(2 + 2n) 75 + 25n = (2 * 5 + 2n * 5) 75 + 25n = (10 + 10n) Solving 75 + 25n = 10 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 75 + 25n + -10n = 10 + 10n + -10n Combine like terms: 25n + -10n = 15n 75 + 15n = 10 + 10n + -10n Combine like terms: 10n + -10n = 0 75 + 15n = 10 + 0 75 + 15n = 10 Add '-75' to each side of the equation. 75 + -75 + 15n = 10 + -75 Combine like terms: 75 + -75 = 0 0 + 15n = 10 + -75 15n = 10 + -75 Combine like terms: 10 + -75 = -65 15n = -65 Divide each side by '15'. n = -4.333333333 Simplifying n = -4.333333333
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