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Simplifying -11 = 3(1 + 6n) + -4(5n + 2) -11 = (1 * 3 + 6n * 3) + -4(5n + 2) -11 = (3 + 18n) + -4(5n + 2) Reorder the terms: -11 = 3 + 18n + -4(2 + 5n) -11 = 3 + 18n + (2 * -4 + 5n * -4) -11 = 3 + 18n + (-8 + -20n) Reorder the terms: -11 = 3 + -8 + 18n + -20n Combine like terms: 3 + -8 = -5 -11 = -5 + 18n + -20n Combine like terms: 18n + -20n = -2n -11 = -5 + -2n Solving -11 = -5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -11 + 2n = -5 + -2n + 2n Combine like terms: -2n + 2n = 0 -11 + 2n = -5 + 0 -11 + 2n = -5 Add '11' to each side of the equation. -11 + 11 + 2n = -5 + 11 Combine like terms: -11 + 11 = 0 0 + 2n = -5 + 11 2n = -5 + 11 Combine like terms: -5 + 11 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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