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Simplifying -5 + 4(8 + -8n) = 27 + 7n -5 + (8 * 4 + -8n * 4) = 27 + 7n -5 + (32 + -32n) = 27 + 7n Combine like terms: -5 + 32 = 27 27 + -32n = 27 + 7n Add '-27' to each side of the equation. 27 + -27 + -32n = 27 + -27 + 7n Combine like terms: 27 + -27 = 0 0 + -32n = 27 + -27 + 7n -32n = 27 + -27 + 7n Combine like terms: 27 + -27 = 0 -32n = 0 + 7n -32n = 7n Solving -32n = 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. -32n + -7n = 7n + -7n Combine like terms: -32n + -7n = -39n -39n = 7n + -7n Combine like terms: 7n + -7n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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