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Simplifying -35 = 2(-5 + -5n) + 5(5n + 7) -35 = (-5 * 2 + -5n * 2) + 5(5n + 7) -35 = (-10 + -10n) + 5(5n + 7) Reorder the terms: -35 = -10 + -10n + 5(7 + 5n) -35 = -10 + -10n + (7 * 5 + 5n * 5) -35 = -10 + -10n + (35 + 25n) Reorder the terms: -35 = -10 + 35 + -10n + 25n Combine like terms: -10 + 35 = 25 -35 = 25 + -10n + 25n Combine like terms: -10n + 25n = 15n -35 = 25 + 15n Solving -35 = 25 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -35 + -15n = 25 + 15n + -15n Combine like terms: 15n + -15n = 0 -35 + -15n = 25 + 0 -35 + -15n = 25 Add '35' to each side of the equation. -35 + 35 + -15n = 25 + 35 Combine like terms: -35 + 35 = 0 0 + -15n = 25 + 35 -15n = 25 + 35 Combine like terms: 25 + 35 = 60 -15n = 60 Divide each side by '-15'. n = -4 Simplifying n = -4
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