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Simplifying 6(1 + 3n) + 3 = -15 + 6n (1 * 6 + 3n * 6) + 3 = -15 + 6n (6 + 18n) + 3 = -15 + 6n Reorder the terms: 6 + 3 + 18n = -15 + 6n Combine like terms: 6 + 3 = 9 9 + 18n = -15 + 6n Solving 9 + 18n = -15 + 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. 9 + 18n + -6n = -15 + 6n + -6n Combine like terms: 18n + -6n = 12n 9 + 12n = -15 + 6n + -6n Combine like terms: 6n + -6n = 0 9 + 12n = -15 + 0 9 + 12n = -15 Add '-9' to each side of the equation. 9 + -9 + 12n = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 12n = -15 + -9 12n = -15 + -9 Combine like terms: -15 + -9 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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