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Simplifying 5(6 + 2n) = 5n + 10 (6 * 5 + 2n * 5) = 5n + 10 (30 + 10n) = 5n + 10 Reorder the terms: 30 + 10n = 10 + 5n Solving 30 + 10n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 30 + 10n + -5n = 10 + 5n + -5n Combine like terms: 10n + -5n = 5n 30 + 5n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 30 + 5n = 10 + 0 30 + 5n = 10 Add '-30' to each side of the equation. 30 + -30 + 5n = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 5n = 10 + -30 5n = 10 + -30 Combine like terms: 10 + -30 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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