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Simplifying 8(n + 3) = 9n + 13 + -6 Reorder the terms: 8(3 + n) = 9n + 13 + -6 (3 * 8 + n * 8) = 9n + 13 + -6 (24 + 8n) = 9n + 13 + -6 Reorder the terms: 24 + 8n = 13 + -6 + 9n Combine like terms: 13 + -6 = 7 24 + 8n = 7 + 9n Solving 24 + 8n = 7 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 24 + 8n + -9n = 7 + 9n + -9n Combine like terms: 8n + -9n = -1n 24 + -1n = 7 + 9n + -9n Combine like terms: 9n + -9n = 0 24 + -1n = 7 + 0 24 + -1n = 7 Add '-24' to each side of the equation. 24 + -24 + -1n = 7 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 7 + -24 -1n = 7 + -24 Combine like terms: 7 + -24 = -17 -1n = -17 Divide each side by '-1'. n = 17 Simplifying n = 17
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