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Simplifying 27 + n = -5(1 + -1n) 27 + n = (1 * -5 + -1n * -5) 27 + n = (-5 + 5n) Solving 27 + n = -5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 27 + n + -5n = -5 + 5n + -5n Combine like terms: n + -5n = -4n 27 + -4n = -5 + 5n + -5n Combine like terms: 5n + -5n = 0 27 + -4n = -5 + 0 27 + -4n = -5 Add '-27' to each side of the equation. 27 + -27 + -4n = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -4n = -5 + -27 -4n = -5 + -27 Combine like terms: -5 + -27 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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