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