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Simplifying -8(1 + n) + 5(n + 6) = 5n + -8 + -1n + 3 (1 * -8 + n * -8) + 5(n + 6) = 5n + -8 + -1n + 3 (-8 + -8n) + 5(n + 6) = 5n + -8 + -1n + 3 Reorder the terms: -8 + -8n + 5(6 + n) = 5n + -8 + -1n + 3 -8 + -8n + (6 * 5 + n * 5) = 5n + -8 + -1n + 3 -8 + -8n + (30 + 5n) = 5n + -8 + -1n + 3 Reorder the terms: -8 + 30 + -8n + 5n = 5n + -8 + -1n + 3 Combine like terms: -8 + 30 = 22 22 + -8n + 5n = 5n + -8 + -1n + 3 Combine like terms: -8n + 5n = -3n 22 + -3n = 5n + -8 + -1n + 3 Reorder the terms: 22 + -3n = -8 + 3 + 5n + -1n Combine like terms: -8 + 3 = -5 22 + -3n = -5 + 5n + -1n Combine like terms: 5n + -1n = 4n 22 + -3n = -5 + 4n Solving 22 + -3n = -5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 22 + -3n + -4n = -5 + 4n + -4n Combine like terms: -3n + -4n = -7n 22 + -7n = -5 + 4n + -4n Combine like terms: 4n + -4n = 0 22 + -7n = -5 + 0 22 + -7n = -5 Add '-22' to each side of the equation. 22 + -22 + -7n = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -7n = -5 + -22 -7n = -5 + -22 Combine like terms: -5 + -22 = -27 -7n = -27 Divide each side by '-7'. n = 3.857142857 Simplifying n = 3.857142857
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