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Simplifying 6(3n + 2) = -114 Reorder the terms: 6(2 + 3n) = -114 (2 * 6 + 3n * 6) = -114 (12 + 18n) = -114 Solving 12 + 18n = -114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18n = -114 + -12 Combine like terms: 12 + -12 = 0 0 + 18n = -114 + -12 18n = -114 + -12 Combine like terms: -114 + -12 = -126 18n = -126 Divide each side by '18'. n = -7 Simplifying n = -7
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