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Simplifying -60 = 6(n + -5) + 6(5 + n) Reorder the terms: -60 = 6(-5 + n) + 6(5 + n) -60 = (-5 * 6 + n * 6) + 6(5 + n) -60 = (-30 + 6n) + 6(5 + n) -60 = -30 + 6n + (5 * 6 + n * 6) -60 = -30 + 6n + (30 + 6n) Reorder the terms: -60 = -30 + 30 + 6n + 6n Combine like terms: -30 + 30 = 0 -60 = 0 + 6n + 6n -60 = 6n + 6n Combine like terms: 6n + 6n = 12n -60 = 12n Solving -60 = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -60 + -12n = 12n + -12n Combine like terms: 12n + -12n = 0 -60 + -12n = 0 Add '60' to each side of the equation. -60 + 60 + -12n = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -12n = 0 + 60 -12n = 0 + 60 Combine like terms: 0 + 60 = 60 -12n = 60 Divide each side by '-12'. n = -5 Simplifying n = -5
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