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Simplifying 3(5 + 2n) = 7 + 10n (5 * 3 + 2n * 3) = 7 + 10n (15 + 6n) = 7 + 10n Solving 15 + 6n = 7 + 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. 15 + 6n + -10n = 7 + 10n + -10n Combine like terms: 6n + -10n = -4n 15 + -4n = 7 + 10n + -10n Combine like terms: 10n + -10n = 0 15 + -4n = 7 + 0 15 + -4n = 7 Add '-15' to each side of the equation. 15 + -15 + -4n = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -4n = 7 + -15 -4n = 7 + -15 Combine like terms: 7 + -15 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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