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Simplifying 6n + 6(1 + 2n) = 3n + -9 6n + (1 * 6 + 2n * 6) = 3n + -9 6n + (6 + 12n) = 3n + -9 Reorder the terms: 6 + 6n + 12n = 3n + -9 Combine like terms: 6n + 12n = 18n 6 + 18n = 3n + -9 Reorder the terms: 6 + 18n = -9 + 3n Solving 6 + 18n = -9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 6 + 18n + -3n = -9 + 3n + -3n Combine like terms: 18n + -3n = 15n 6 + 15n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + 15n = -9 + 0 6 + 15n = -9 Add '-6' to each side of the equation. 6 + -6 + 15n = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 15n = -9 + -6 15n = -9 + -6 Combine like terms: -9 + -6 = -15 15n = -15 Divide each side by '15'. n = -1 Simplifying n = -1
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