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Simplifying 11(4 + 3n) + -3 = -6(-6n + -8) + 2 (4 * 11 + 3n * 11) + -3 = -6(-6n + -8) + 2 (44 + 33n) + -3 = -6(-6n + -8) + 2 Reorder the terms: 44 + -3 + 33n = -6(-6n + -8) + 2 Combine like terms: 44 + -3 = 41 41 + 33n = -6(-6n + -8) + 2 Reorder the terms: 41 + 33n = -6(-8 + -6n) + 2 41 + 33n = (-8 * -6 + -6n * -6) + 2 41 + 33n = (48 + 36n) + 2 Reorder the terms: 41 + 33n = 48 + 2 + 36n Combine like terms: 48 + 2 = 50 41 + 33n = 50 + 36n Solving 41 + 33n = 50 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 41 + 33n + -36n = 50 + 36n + -36n Combine like terms: 33n + -36n = -3n 41 + -3n = 50 + 36n + -36n Combine like terms: 36n + -36n = 0 41 + -3n = 50 + 0 41 + -3n = 50 Add '-41' to each side of the equation. 41 + -41 + -3n = 50 + -41 Combine like terms: 41 + -41 = 0 0 + -3n = 50 + -41 -3n = 50 + -41 Combine like terms: 50 + -41 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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