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Simplifying 5(5n + 7) + -20n = 3(5n + -3) Reorder the terms: 5(7 + 5n) + -20n = 3(5n + -3) (7 * 5 + 5n * 5) + -20n = 3(5n + -3) (35 + 25n) + -20n = 3(5n + -3) Combine like terms: 25n + -20n = 5n 35 + 5n = 3(5n + -3) Reorder the terms: 35 + 5n = 3(-3 + 5n) 35 + 5n = (-3 * 3 + 5n * 3) 35 + 5n = (-9 + 15n) Solving 35 + 5n = -9 + 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 + 5n + -15n = -9 + 15n + -15n Combine like terms: 5n + -15n = -10n 35 + -10n = -9 + 15n + -15n Combine like terms: 15n + -15n = 0 35 + -10n = -9 + 0 35 + -10n = -9 Add '-35' to each side of the equation. 35 + -35 + -10n = -9 + -35 Combine like terms: 35 + -35 = 0 0 + -10n = -9 + -35 -10n = -9 + -35 Combine like terms: -9 + -35 = -44 -10n = -44 Divide each side by '-10'. n = 4.4 Simplifying n = 4.4
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