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Simplifying 39 + n = 5(2n + 6) Reorder the terms: 39 + n = 5(6 + 2n) 39 + n = (6 * 5 + 2n * 5) 39 + n = (30 + 10n) Solving 39 + n = 30 + 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. 39 + n + -10n = 30 + 10n + -10n Combine like terms: n + -10n = -9n 39 + -9n = 30 + 10n + -10n Combine like terms: 10n + -10n = 0 39 + -9n = 30 + 0 39 + -9n = 30 Add '-39' to each side of the equation. 39 + -39 + -9n = 30 + -39 Combine like terms: 39 + -39 = 0 0 + -9n = 30 + -39 -9n = 30 + -39 Combine like terms: 30 + -39 = -9 -9n = -9 Divide each side by '-9'. n = 1 Simplifying n = 1
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