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Simplifying -8n + -35 = 3(1 + 2n) + 4 Reorder the terms: -35 + -8n = 3(1 + 2n) + 4 -35 + -8n = (1 * 3 + 2n * 3) + 4 -35 + -8n = (3 + 6n) + 4 Reorder the terms: -35 + -8n = 3 + 4 + 6n Combine like terms: 3 + 4 = 7 -35 + -8n = 7 + 6n Solving -35 + -8n = 7 + 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. -35 + -8n + -6n = 7 + 6n + -6n Combine like terms: -8n + -6n = -14n -35 + -14n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + -14n = 7 + 0 -35 + -14n = 7 Add '35' to each side of the equation. -35 + 35 + -14n = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -14n = 7 + 35 -14n = 7 + 35 Combine like terms: 7 + 35 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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