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Simplifying 4n + -1(6n + 6) = 9 + -1(4n + -6) Reorder the terms: 4n + -1(6 + 6n) = 9 + -1(4n + -6) 4n + (6 * -1 + 6n * -1) = 9 + -1(4n + -6) 4n + (-6 + -6n) = 9 + -1(4n + -6) Reorder the terms: -6 + 4n + -6n = 9 + -1(4n + -6) Combine like terms: 4n + -6n = -2n -6 + -2n = 9 + -1(4n + -6) Reorder the terms: -6 + -2n = 9 + -1(-6 + 4n) -6 + -2n = 9 + (-6 * -1 + 4n * -1) -6 + -2n = 9 + (6 + -4n) Combine like terms: 9 + 6 = 15 -6 + -2n = 15 + -4n Solving -6 + -2n = 15 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -6 + -2n + 4n = 15 + -4n + 4n Combine like terms: -2n + 4n = 2n -6 + 2n = 15 + -4n + 4n Combine like terms: -4n + 4n = 0 -6 + 2n = 15 + 0 -6 + 2n = 15 Add '6' to each side of the equation. -6 + 6 + 2n = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 15 + 6 2n = 15 + 6 Combine like terms: 15 + 6 = 21 2n = 21 Divide each side by '2'. n = 10.5 Simplifying n = 10.5
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