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Simplifying 6n + 5(2n + -6) = 6n + -30 Reorder the terms: 6n + 5(-6 + 2n) = 6n + -30 6n + (-6 * 5 + 2n * 5) = 6n + -30 6n + (-30 + 10n) = 6n + -30 Reorder the terms: -30 + 6n + 10n = 6n + -30 Combine like terms: 6n + 10n = 16n -30 + 16n = 6n + -30 Reorder the terms: -30 + 16n = -30 + 6n Add '30' to each side of the equation. -30 + 30 + 16n = -30 + 30 + 6n Combine like terms: -30 + 30 = 0 0 + 16n = -30 + 30 + 6n 16n = -30 + 30 + 6n Combine like terms: -30 + 30 = 0 16n = 0 + 6n 16n = 6n Solving 16n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16n + -6n = 6n + -6n Combine like terms: 16n + -6n = 10n 10n = 6n + -6n Combine like terms: 6n + -6n = 0 10n = 0 Divide each side by '10'. n = 0.0 Simplifying n = 0.0
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