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Simplifying 3(4n + 11) + -2(3n + 2) = 17 Reorder the terms: 3(11 + 4n) + -2(3n + 2) = 17 (11 * 3 + 4n * 3) + -2(3n + 2) = 17 (33 + 12n) + -2(3n + 2) = 17 Reorder the terms: 33 + 12n + -2(2 + 3n) = 17 33 + 12n + (2 * -2 + 3n * -2) = 17 33 + 12n + (-4 + -6n) = 17 Reorder the terms: 33 + -4 + 12n + -6n = 17 Combine like terms: 33 + -4 = 29 29 + 12n + -6n = 17 Combine like terms: 12n + -6n = 6n 29 + 6n = 17 Solving 29 + 6n = 17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 6n = 17 + -29 Combine like terms: 29 + -29 = 0 0 + 6n = 17 + -29 6n = 17 + -29 Combine like terms: 17 + -29 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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