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Simplifying -2n + 11 = -3(4n + 3) Reorder the terms: 11 + -2n = -3(4n + 3) Reorder the terms: 11 + -2n = -3(3 + 4n) 11 + -2n = (3 * -3 + 4n * -3) 11 + -2n = (-9 + -12n) Solving 11 + -2n = -9 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 11 + -2n + 12n = -9 + -12n + 12n Combine like terms: -2n + 12n = 10n 11 + 10n = -9 + -12n + 12n Combine like terms: -12n + 12n = 0 11 + 10n = -9 + 0 11 + 10n = -9 Add '-11' to each side of the equation. 11 + -11 + 10n = -9 + -11 Combine like terms: 11 + -11 = 0 0 + 10n = -9 + -11 10n = -9 + -11 Combine like terms: -9 + -11 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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