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Simplifying 4(2n + 1) = -10 + -6n Reorder the terms: 4(1 + 2n) = -10 + -6n (1 * 4 + 2n * 4) = -10 + -6n (4 + 8n) = -10 + -6n Solving 4 + 8n = -10 + -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. 4 + 8n + 6n = -10 + -6n + 6n Combine like terms: 8n + 6n = 14n 4 + 14n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 14n = -10 + 0 4 + 14n = -10 Add '-4' to each side of the equation. 4 + -4 + 14n = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 14n = -10 + -4 14n = -10 + -4 Combine like terms: -10 + -4 = -14 14n = -14 Divide each side by '14'. n = -1 Simplifying n = -1
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