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Simplifying 2n + -3(11n + 3) = -5(7n + -3) Reorder the terms: 2n + -3(3 + 11n) = -5(7n + -3) 2n + (3 * -3 + 11n * -3) = -5(7n + -3) 2n + (-9 + -33n) = -5(7n + -3) Reorder the terms: -9 + 2n + -33n = -5(7n + -3) Combine like terms: 2n + -33n = -31n -9 + -31n = -5(7n + -3) Reorder the terms: -9 + -31n = -5(-3 + 7n) -9 + -31n = (-3 * -5 + 7n * -5) -9 + -31n = (15 + -35n) Solving -9 + -31n = 15 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -9 + -31n + 35n = 15 + -35n + 35n Combine like terms: -31n + 35n = 4n -9 + 4n = 15 + -35n + 35n Combine like terms: -35n + 35n = 0 -9 + 4n = 15 + 0 -9 + 4n = 15 Add '9' to each side of the equation. -9 + 9 + 4n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 4n = 15 + 9 4n = 15 + 9 Combine like terms: 15 + 9 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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