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Simplifying -8(1 + -2n) = 2n + -36 (1 * -8 + -2n * -8) = 2n + -36 (-8 + 16n) = 2n + -36 Reorder the terms: -8 + 16n = -36 + 2n Solving -8 + 16n = -36 + 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. -8 + 16n + -2n = -36 + 2n + -2n Combine like terms: 16n + -2n = 14n -8 + 14n = -36 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 14n = -36 + 0 -8 + 14n = -36 Add '8' to each side of the equation. -8 + 8 + 14n = -36 + 8 Combine like terms: -8 + 8 = 0 0 + 14n = -36 + 8 14n = -36 + 8 Combine like terms: -36 + 8 = -28 14n = -28 Divide each side by '14'. n = -2 Simplifying n = -2
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