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Simplifying 17 + 3n = -6(5n + -3) + -1 Reorder the terms: 17 + 3n = -6(-3 + 5n) + -1 17 + 3n = (-3 * -6 + 5n * -6) + -1 17 + 3n = (18 + -30n) + -1 Reorder the terms: 17 + 3n = 18 + -1 + -30n Combine like terms: 18 + -1 = 17 17 + 3n = 17 + -30n Add '-17' to each side of the equation. 17 + -17 + 3n = 17 + -17 + -30n Combine like terms: 17 + -17 = 0 0 + 3n = 17 + -17 + -30n 3n = 17 + -17 + -30n Combine like terms: 17 + -17 = 0 3n = 0 + -30n 3n = -30n Solving 3n = -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 3n + 30n = -30n + 30n Combine like terms: 3n + 30n = 33n 33n = -30n + 30n Combine like terms: -30n + 30n = 0 33n = 0 Divide each side by '33'. n = 0 Simplifying n = 0
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