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Simplifying 5(3 + n) = 5(7 + 3n) (3 * 5 + n * 5) = 5(7 + 3n) (15 + 5n) = 5(7 + 3n) 15 + 5n = (7 * 5 + 3n * 5) 15 + 5n = (35 + 15n) Solving 15 + 5n = 35 + 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. 15 + 5n + -15n = 35 + 15n + -15n Combine like terms: 5n + -15n = -10n 15 + -10n = 35 + 15n + -15n Combine like terms: 15n + -15n = 0 15 + -10n = 35 + 0 15 + -10n = 35 Add '-15' to each side of the equation. 15 + -15 + -10n = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -10n = 35 + -15 -10n = 35 + -15 Combine like terms: 35 + -15 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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