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Simplifying 6(2n + 3) + -4n + 32 = 90 Reorder the terms: 6(3 + 2n) + -4n + 32 = 90 (3 * 6 + 2n * 6) + -4n + 32 = 90 (18 + 12n) + -4n + 32 = 90 Reorder the terms: 18 + 32 + 12n + -4n = 90 Combine like terms: 18 + 32 = 50 50 + 12n + -4n = 90 Combine like terms: 12n + -4n = 8n 50 + 8n = 90 Solving 50 + 8n = 90 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 8n = 90 + -50 Combine like terms: 50 + -50 = 0 0 + 8n = 90 + -50 8n = 90 + -50 Combine like terms: 90 + -50 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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