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Simplifying -8(2 + 4n) = 36 + 7n (2 * -8 + 4n * -8) = 36 + 7n (-16 + -32n) = 36 + 7n Solving -16 + -32n = 36 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -16 + -32n + -7n = 36 + 7n + -7n Combine like terms: -32n + -7n = -39n -16 + -39n = 36 + 7n + -7n Combine like terms: 7n + -7n = 0 -16 + -39n = 36 + 0 -16 + -39n = 36 Add '16' to each side of the equation. -16 + 16 + -39n = 36 + 16 Combine like terms: -16 + 16 = 0 0 + -39n = 36 + 16 -39n = 36 + 16 Combine like terms: 36 + 16 = 52 -39n = 52 Divide each side by '-39'. n = -1.333333333 Simplifying n = -1.333333333
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