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Simplifying -17 + -8n = 5(6 + -7n) + 7 -17 + -8n = (6 * 5 + -7n * 5) + 7 -17 + -8n = (30 + -35n) + 7 Reorder the terms: -17 + -8n = 30 + 7 + -35n Combine like terms: 30 + 7 = 37 -17 + -8n = 37 + -35n Solving -17 + -8n = 37 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -17 + -8n + 35n = 37 + -35n + 35n Combine like terms: -8n + 35n = 27n -17 + 27n = 37 + -35n + 35n Combine like terms: -35n + 35n = 0 -17 + 27n = 37 + 0 -17 + 27n = 37 Add '17' to each side of the equation. -17 + 17 + 27n = 37 + 17 Combine like terms: -17 + 17 = 0 0 + 27n = 37 + 17 27n = 37 + 17 Combine like terms: 37 + 17 = 54 27n = 54 Divide each side by '27'. n = 2 Simplifying n = 2
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