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Simplifying -1(1 + -5n) = -3(2n + 4) (1 * -1 + -5n * -1) = -3(2n + 4) (-1 + 5n) = -3(2n + 4) Reorder the terms: -1 + 5n = -3(4 + 2n) -1 + 5n = (4 * -3 + 2n * -3) -1 + 5n = (-12 + -6n) Solving -1 + 5n = -12 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -1 + 5n + 6n = -12 + -6n + 6n Combine like terms: 5n + 6n = 11n -1 + 11n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 -1 + 11n = -12 + 0 -1 + 11n = -12 Add '1' to each side of the equation. -1 + 1 + 11n = -12 + 1 Combine like terms: -1 + 1 = 0 0 + 11n = -12 + 1 11n = -12 + 1 Combine like terms: -12 + 1 = -11 11n = -11 Divide each side by '11'. n = -1 Simplifying n = -1
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