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Simplifying -35 + 6n = 2(1 + 7n) + -5 -35 + 6n = (1 * 2 + 7n * 2) + -5 -35 + 6n = (2 + 14n) + -5 Reorder the terms: -35 + 6n = 2 + -5 + 14n Combine like terms: 2 + -5 = -3 -35 + 6n = -3 + 14n Solving -35 + 6n = -3 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -35 + 6n + -14n = -3 + 14n + -14n Combine like terms: 6n + -14n = -8n -35 + -8n = -3 + 14n + -14n Combine like terms: 14n + -14n = 0 -35 + -8n = -3 + 0 -35 + -8n = -3 Add '35' to each side of the equation. -35 + 35 + -8n = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -8n = -3 + 35 -8n = -3 + 35 Combine like terms: -3 + 35 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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