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Simplifying 7n + 5(8n + 6) = 30 + 2n Reorder the terms: 7n + 5(6 + 8n) = 30 + 2n 7n + (6 * 5 + 8n * 5) = 30 + 2n 7n + (30 + 40n) = 30 + 2n Reorder the terms: 30 + 7n + 40n = 30 + 2n Combine like terms: 7n + 40n = 47n 30 + 47n = 30 + 2n Add '-30' to each side of the equation. 30 + -30 + 47n = 30 + -30 + 2n Combine like terms: 30 + -30 = 0 0 + 47n = 30 + -30 + 2n 47n = 30 + -30 + 2n Combine like terms: 30 + -30 = 0 47n = 0 + 2n 47n = 2n Solving 47n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 47n + -2n = 2n + -2n Combine like terms: 47n + -2n = 45n 45n = 2n + -2n Combine like terms: 2n + -2n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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