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Simplifying 5(4n + 6) + 2n = 8n + 7 Reorder the terms: 5(6 + 4n) + 2n = 8n + 7 (6 * 5 + 4n * 5) + 2n = 8n + 7 (30 + 20n) + 2n = 8n + 7 Combine like terms: 20n + 2n = 22n 30 + 22n = 8n + 7 Reorder the terms: 30 + 22n = 7 + 8n Solving 30 + 22n = 7 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 30 + 22n + -8n = 7 + 8n + -8n Combine like terms: 22n + -8n = 14n 30 + 14n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 30 + 14n = 7 + 0 30 + 14n = 7 Add '-30' to each side of the equation. 30 + -30 + 14n = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 14n = 7 + -30 14n = 7 + -30 Combine like terms: 7 + -30 = -23 14n = -23 Divide each side by '14'. n = -1.642857143 Simplifying n = -1.642857143
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