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Simplifying n + -428 = -29n + -8 Reorder the terms: -428 + n = -29n + -8 Reorder the terms: -428 + n = -8 + -29n Solving -428 + n = -8 + -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. -428 + n + 29n = -8 + -29n + 29n Combine like terms: n + 29n = 30n -428 + 30n = -8 + -29n + 29n Combine like terms: -29n + 29n = 0 -428 + 30n = -8 + 0 -428 + 30n = -8 Add '428' to each side of the equation. -428 + 428 + 30n = -8 + 428 Combine like terms: -428 + 428 = 0 0 + 30n = -8 + 428 30n = -8 + 428 Combine like terms: -8 + 428 = 420 30n = 420 Divide each side by '30'. n = 14 Simplifying n = 14
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