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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 = -51 -17 + 6n = -51 + 40n Solving -17 + 6n = -51 + 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 = -51 + 40n + -40n Combine like terms: 6n + -40n = -34n -17 + -34n = -51 + 40n + -40n Combine like terms: 40n + -40n = 0 -17 + -34n = -51 + 0 -17 + -34n = -51 Add '17' to each side of the equation. -17 + 17 + -34n = -51 + 17 Combine like terms: -17 + 17 = 0 0 + -34n = -51 + 17 -34n = -51 + 17 Combine like terms: -51 + 17 = -34 -34n = -34 Divide each side by '-34'. n = 1 Simplifying n = 1
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