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Simplifying -17 + 6n = 8(7 + -5n) + 5 -17 + 6n = (7 * 8 + -5n * 8) + 5 -17 + 6n = (56 + -40n) + 5 Reorder the terms: -17 + 6n = 56 + 5 + -40n Combine like terms: 56 + 5 = 61 -17 + 6n = 61 + -40n Solving -17 + 6n = 61 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -17 + 6n + 40n = 61 + -40n + 40n Combine like terms: 6n + 40n = 46n -17 + 46n = 61 + -40n + 40n Combine like terms: -40n + 40n = 0 -17 + 46n = 61 + 0 -17 + 46n = 61 Add '17' to each side of the equation. -17 + 17 + 46n = 61 + 17 Combine like terms: -17 + 17 = 0 0 + 46n = 61 + 17 46n = 61 + 17 Combine like terms: 61 + 17 = 78 46n = 78 Divide each side by '46'. n = 1.695652174 Simplifying n = 1.695652174
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