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Simplifying -60 = 6(-2n + -8) + 3(3n + 2) Reorder the terms: -60 = 6(-8 + -2n) + 3(3n + 2) -60 = (-8 * 6 + -2n * 6) + 3(3n + 2) -60 = (-48 + -12n) + 3(3n + 2) Reorder the terms: -60 = -48 + -12n + 3(2 + 3n) -60 = -48 + -12n + (2 * 3 + 3n * 3) -60 = -48 + -12n + (6 + 9n) Reorder the terms: -60 = -48 + 6 + -12n + 9n Combine like terms: -48 + 6 = -42 -60 = -42 + -12n + 9n Combine like terms: -12n + 9n = -3n -60 = -42 + -3n Solving -60 = -42 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -60 + 3n = -42 + -3n + 3n Combine like terms: -3n + 3n = 0 -60 + 3n = -42 + 0 -60 + 3n = -42 Add '60' to each side of the equation. -60 + 60 + 3n = -42 + 60 Combine like terms: -60 + 60 = 0 0 + 3n = -42 + 60 3n = -42 + 60 Combine like terms: -42 + 60 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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