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Simplifying 4(n + 6) + -2n = 3(n + 3) + -11 Reorder the terms: 4(6 + n) + -2n = 3(n + 3) + -11 (6 * 4 + n * 4) + -2n = 3(n + 3) + -11 (24 + 4n) + -2n = 3(n + 3) + -11 Combine like terms: 4n + -2n = 2n 24 + 2n = 3(n + 3) + -11 Reorder the terms: 24 + 2n = 3(3 + n) + -11 24 + 2n = (3 * 3 + n * 3) + -11 24 + 2n = (9 + 3n) + -11 Reorder the terms: 24 + 2n = 9 + -11 + 3n Combine like terms: 9 + -11 = -2 24 + 2n = -2 + 3n Solving 24 + 2n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 24 + 2n + -3n = -2 + 3n + -3n Combine like terms: 2n + -3n = -1n 24 + -1n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 24 + -1n = -2 + 0 24 + -1n = -2 Add '-24' to each side of the equation. 24 + -24 + -1n = -2 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = -2 + -24 -1n = -2 + -24 Combine like terms: -2 + -24 = -26 -1n = -26 Divide each side by '-1'. n = 26 Simplifying n = 26
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