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Simplifying 11(1 + -10n) = 12 + -1(-4n + 1) (1 * 11 + -10n * 11) = 12 + -1(-4n + 1) (11 + -110n) = 12 + -1(-4n + 1) Reorder the terms: 11 + -110n = 12 + -1(1 + -4n) 11 + -110n = 12 + (1 * -1 + -4n * -1) 11 + -110n = 12 + (-1 + 4n) Combine like terms: 12 + -1 = 11 11 + -110n = 11 + 4n Add '-11' to each side of the equation. 11 + -11 + -110n = 11 + -11 + 4n Combine like terms: 11 + -11 = 0 0 + -110n = 11 + -11 + 4n -110n = 11 + -11 + 4n Combine like terms: 11 + -11 = 0 -110n = 0 + 4n -110n = 4n Solving -110n = 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. -110n + -4n = 4n + -4n Combine like terms: -110n + -4n = -114n -114n = 4n + -4n Combine like terms: 4n + -4n = 0 -114n = 0 Divide each side by '-114'. n = 0 Simplifying n = 0
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