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Simplifying -11(12 + -1n) = -4n + -12 (12 * -11 + -1n * -11) = -4n + -12 (-132 + 11n) = -4n + -12 Reorder the terms: -132 + 11n = -12 + -4n Solving -132 + 11n = -12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -132 + 11n + 4n = -12 + -4n + 4n Combine like terms: 11n + 4n = 15n -132 + 15n = -12 + -4n + 4n Combine like terms: -4n + 4n = 0 -132 + 15n = -12 + 0 -132 + 15n = -12 Add '132' to each side of the equation. -132 + 132 + 15n = -12 + 132 Combine like terms: -132 + 132 = 0 0 + 15n = -12 + 132 15n = -12 + 132 Combine like terms: -12 + 132 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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