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Simplifying 3(n + 11) = 6(n + 2) Reorder the terms: 3(11 + n) = 6(n + 2) (11 * 3 + n * 3) = 6(n + 2) (33 + 3n) = 6(n + 2) Reorder the terms: 33 + 3n = 6(2 + n) 33 + 3n = (2 * 6 + n * 6) 33 + 3n = (12 + 6n) Solving 33 + 3n = 12 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 33 + 3n + -6n = 12 + 6n + -6n Combine like terms: 3n + -6n = -3n 33 + -3n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 33 + -3n = 12 + 0 33 + -3n = 12 Add '-33' to each side of the equation. 33 + -33 + -3n = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -3n = 12 + -33 -3n = 12 + -33 Combine like terms: 12 + -33 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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