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Simplifying -3(n + -3) + 4n = -11(n + 3) + -2n Reorder the terms: -3(-3 + n) + 4n = -11(n + 3) + -2n (-3 * -3 + n * -3) + 4n = -11(n + 3) + -2n (9 + -3n) + 4n = -11(n + 3) + -2n Combine like terms: -3n + 4n = 1n 9 + 1n = -11(n + 3) + -2n Reorder the terms: 9 + 1n = -11(3 + n) + -2n 9 + 1n = (3 * -11 + n * -11) + -2n 9 + 1n = (-33 + -11n) + -2n Combine like terms: -11n + -2n = -13n 9 + 1n = -33 + -13n Solving 9 + 1n = -33 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 9 + 1n + 13n = -33 + -13n + 13n Combine like terms: 1n + 13n = 14n 9 + 14n = -33 + -13n + 13n Combine like terms: -13n + 13n = 0 9 + 14n = -33 + 0 9 + 14n = -33 Add '-9' to each side of the equation. 9 + -9 + 14n = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 14n = -33 + -9 14n = -33 + -9 Combine like terms: -33 + -9 = -42 14n = -42 Divide each side by '14'. n = -3 Simplifying n = -3
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