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Simplifying -1(-5 + -6n) + 2n + -3(4n + 5) = -6(n + -3) + -1 (-5 * -1 + -6n * -1) + 2n + -3(4n + 5) = -6(n + -3) + -1 (5 + 6n) + 2n + -3(4n + 5) = -6(n + -3) + -1 Reorder the terms: 5 + 6n + 2n + -3(5 + 4n) = -6(n + -3) + -1 5 + 6n + 2n + (5 * -3 + 4n * -3) = -6(n + -3) + -1 5 + 6n + 2n + (-15 + -12n) = -6(n + -3) + -1 Reorder the terms: 5 + -15 + 6n + 2n + -12n = -6(n + -3) + -1 Combine like terms: 5 + -15 = -10 -10 + 6n + 2n + -12n = -6(n + -3) + -1 Combine like terms: 6n + 2n = 8n -10 + 8n + -12n = -6(n + -3) + -1 Combine like terms: 8n + -12n = -4n -10 + -4n = -6(n + -3) + -1 Reorder the terms: -10 + -4n = -6(-3 + n) + -1 -10 + -4n = (-3 * -6 + n * -6) + -1 -10 + -4n = (18 + -6n) + -1 Reorder the terms: -10 + -4n = 18 + -1 + -6n Combine like terms: 18 + -1 = 17 -10 + -4n = 17 + -6n Solving -10 + -4n = 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. -10 + -4n + 6n = 17 + -6n + 6n Combine like terms: -4n + 6n = 2n -10 + 2n = 17 + -6n + 6n Combine like terms: -6n + 6n = 0 -10 + 2n = 17 + 0 -10 + 2n = 17 Add '10' to each side of the equation. -10 + 10 + 2n = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 17 + 10 2n = 17 + 10 Combine like terms: 17 + 10 = 27 2n = 27 Divide each side by '2'. n = 13.5 Simplifying n = 13.5
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