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Simplifying -5(7n + 6) = 11 + 6n Reorder the terms: -5(6 + 7n) = 11 + 6n (6 * -5 + 7n * -5) = 11 + 6n (-30 + -35n) = 11 + 6n Solving -30 + -35n = 11 + 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. -30 + -35n + -6n = 11 + 6n + -6n Combine like terms: -35n + -6n = -41n -30 + -41n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 -30 + -41n = 11 + 0 -30 + -41n = 11 Add '30' to each side of the equation. -30 + 30 + -41n = 11 + 30 Combine like terms: -30 + 30 = 0 0 + -41n = 11 + 30 -41n = 11 + 30 Combine like terms: 11 + 30 = 41 -41n = 41 Divide each side by '-41'. n = -1 Simplifying n = -1
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