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Simplifying 5(2n + 6) = 5n + -12 + -1n Reorder the terms: 5(6 + 2n) = 5n + -12 + -1n (6 * 5 + 2n * 5) = 5n + -12 + -1n (30 + 10n) = 5n + -12 + -1n Reorder the terms: 30 + 10n = -12 + 5n + -1n Combine like terms: 5n + -1n = 4n 30 + 10n = -12 + 4n Solving 30 + 10n = -12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 30 + 10n + -4n = -12 + 4n + -4n Combine like terms: 10n + -4n = 6n 30 + 6n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 30 + 6n = -12 + 0 30 + 6n = -12 Add '-30' to each side of the equation. 30 + -30 + 6n = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = -12 + -30 6n = -12 + -30 Combine like terms: -12 + -30 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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