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Simplifying -42(2n + -3) = 12 + -8n Reorder the terms: -42(-3 + 2n) = 12 + -8n (-3 * -42 + 2n * -42) = 12 + -8n (126 + -84n) = 12 + -8n Solving 126 + -84n = 12 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 126 + -84n + 8n = 12 + -8n + 8n Combine like terms: -84n + 8n = -76n 126 + -76n = 12 + -8n + 8n Combine like terms: -8n + 8n = 0 126 + -76n = 12 + 0 126 + -76n = 12 Add '-126' to each side of the equation. 126 + -126 + -76n = 12 + -126 Combine like terms: 126 + -126 = 0 0 + -76n = 12 + -126 -76n = 12 + -126 Combine like terms: 12 + -126 = -114 -76n = -114 Divide each side by '-76'. n = 1.5 Simplifying n = 1.5
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