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Simplifying 1000 + 25(n + -15) = 775 + 35(n + -10) Reorder the terms: 1000 + 25(-15 + n) = 775 + 35(n + -10) 1000 + (-15 * 25 + n * 25) = 775 + 35(n + -10) 1000 + (-375 + 25n) = 775 + 35(n + -10) Combine like terms: 1000 + -375 = 625 625 + 25n = 775 + 35(n + -10) Reorder the terms: 625 + 25n = 775 + 35(-10 + n) 625 + 25n = 775 + (-10 * 35 + n * 35) 625 + 25n = 775 + (-350 + 35n) Combine like terms: 775 + -350 = 425 625 + 25n = 425 + 35n Solving 625 + 25n = 425 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 625 + 25n + -35n = 425 + 35n + -35n Combine like terms: 25n + -35n = -10n 625 + -10n = 425 + 35n + -35n Combine like terms: 35n + -35n = 0 625 + -10n = 425 + 0 625 + -10n = 425 Add '-625' to each side of the equation. 625 + -625 + -10n = 425 + -625 Combine like terms: 625 + -625 = 0 0 + -10n = 425 + -625 -10n = 425 + -625 Combine like terms: 425 + -625 = -200 -10n = -200 Divide each side by '-10'. n = 20 Simplifying n = 20
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