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Simplifying 4n + -1(7n + 11) = 8 + -1(6n + -3) Reorder the terms: 4n + -1(11 + 7n) = 8 + -1(6n + -3) 4n + (11 * -1 + 7n * -1) = 8 + -1(6n + -3) 4n + (-11 + -7n) = 8 + -1(6n + -3) Reorder the terms: -11 + 4n + -7n = 8 + -1(6n + -3) Combine like terms: 4n + -7n = -3n -11 + -3n = 8 + -1(6n + -3) Reorder the terms: -11 + -3n = 8 + -1(-3 + 6n) -11 + -3n = 8 + (-3 * -1 + 6n * -1) -11 + -3n = 8 + (3 + -6n) Combine like terms: 8 + 3 = 11 -11 + -3n = 11 + -6n Solving -11 + -3n = 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. -11 + -3n + 6n = 11 + -6n + 6n Combine like terms: -3n + 6n = 3n -11 + 3n = 11 + -6n + 6n Combine like terms: -6n + 6n = 0 -11 + 3n = 11 + 0 -11 + 3n = 11 Add '11' to each side of the equation. -11 + 11 + 3n = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 3n = 11 + 11 3n = 11 + 11 Combine like terms: 11 + 11 = 22 3n = 22 Divide each side by '3'. n = 7.333333333 Simplifying n = 7.333333333
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