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Simplifying -278 = -6(1 + -5n) + 4n -278 = (1 * -6 + -5n * -6) + 4n -278 = (-6 + 30n) + 4n Combine like terms: 30n + 4n = 34n -278 = -6 + 34n Solving -278 = -6 + 34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34n' to each side of the equation. -278 + -34n = -6 + 34n + -34n Combine like terms: 34n + -34n = 0 -278 + -34n = -6 + 0 -278 + -34n = -6 Add '278' to each side of the equation. -278 + 278 + -34n = -6 + 278 Combine like terms: -278 + 278 = 0 0 + -34n = -6 + 278 -34n = -6 + 278 Combine like terms: -6 + 278 = 272 -34n = 272 Divide each side by '-34'. n = -8 Simplifying n = -8
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