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Simplifying -1(1 + 4n) = -2n + -13 (1 * -1 + 4n * -1) = -2n + -13 (-1 + -4n) = -2n + -13 Reorder the terms: -1 + -4n = -13 + -2n Solving -1 + -4n = -13 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -1 + -4n + 2n = -13 + -2n + 2n Combine like terms: -4n + 2n = -2n -1 + -2n = -13 + -2n + 2n Combine like terms: -2n + 2n = 0 -1 + -2n = -13 + 0 -1 + -2n = -13 Add '1' to each side of the equation. -1 + 1 + -2n = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = -13 + 1 -2n = -13 + 1 Combine like terms: -13 + 1 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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