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Simplifying 6(15 + n) = -42 (15 * 6 + n * 6) = -42 (90 + 6n) = -42 Solving 90 + 6n = -42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 6n = -42 + -90 Combine like terms: 90 + -90 = 0 0 + 6n = -42 + -90 6n = -42 + -90 Combine like terms: -42 + -90 = -132 6n = -132 Divide each side by '6'. n = -22 Simplifying n = -22
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