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Simplifying 12(n + 5) = 10n + 76 Reorder the terms: 12(5 + n) = 10n + 76 (5 * 12 + n * 12) = 10n + 76 (60 + 12n) = 10n + 76 Reorder the terms: 60 + 12n = 76 + 10n Solving 60 + 12n = 76 + 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. 60 + 12n + -10n = 76 + 10n + -10n Combine like terms: 12n + -10n = 2n 60 + 2n = 76 + 10n + -10n Combine like terms: 10n + -10n = 0 60 + 2n = 76 + 0 60 + 2n = 76 Add '-60' to each side of the equation. 60 + -60 + 2n = 76 + -60 Combine like terms: 60 + -60 = 0 0 + 2n = 76 + -60 2n = 76 + -60 Combine like terms: 76 + -60 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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