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Simplifying 2n + -1(4n + 5) = -6(n + -3) + -1 Reorder the terms: 2n + -1(5 + 4n) = -6(n + -3) + -1 2n + (5 * -1 + 4n * -1) = -6(n + -3) + -1 2n + (-5 + -4n) = -6(n + -3) + -1 Reorder the terms: -5 + 2n + -4n = -6(n + -3) + -1 Combine like terms: 2n + -4n = -2n -5 + -2n = -6(n + -3) + -1 Reorder the terms: -5 + -2n = -6(-3 + n) + -1 -5 + -2n = (-3 * -6 + n * -6) + -1 -5 + -2n = (18 + -6n) + -1 Reorder the terms: -5 + -2n = 18 + -1 + -6n Combine like terms: 18 + -1 = 17 -5 + -2n = 17 + -6n Solving -5 + -2n = 17 + -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. -5 + -2n + 6n = 17 + -6n + 6n Combine like terms: -2n + 6n = 4n -5 + 4n = 17 + -6n + 6n Combine like terms: -6n + 6n = 0 -5 + 4n = 17 + 0 -5 + 4n = 17 Add '5' to each side of the equation. -5 + 5 + 4n = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 17 + 5 4n = 17 + 5 Combine like terms: 17 + 5 = 22 4n = 22 Divide each side by '4'. n = 5.5 Simplifying n = 5.5
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