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Simplifying 11 + 6n = 5(-7n + -6) Reorder the terms: 11 + 6n = 5(-6 + -7n) 11 + 6n = (-6 * 5 + -7n * 5) 11 + 6n = (-30 + -35n) Solving 11 + 6n = -30 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 11 + 6n + 35n = -30 + -35n + 35n Combine like terms: 6n + 35n = 41n 11 + 41n = -30 + -35n + 35n Combine like terms: -35n + 35n = 0 11 + 41n = -30 + 0 11 + 41n = -30 Add '-11' to each side of the equation. 11 + -11 + 41n = -30 + -11 Combine like terms: 11 + -11 = 0 0 + 41n = -30 + -11 41n = -30 + -11 Combine like terms: -30 + -11 = -41 41n = -41 Divide each side by '41'. n = -1 Simplifying n = -1
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