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Simplifying -9n + 6(n + -2) = -9n + 6(3n + 10) Reorder the terms: -9n + 6(-2 + n) = -9n + 6(3n + 10) -9n + (-2 * 6 + n * 6) = -9n + 6(3n + 10) -9n + (-12 + 6n) = -9n + 6(3n + 10) Reorder the terms: -12 + -9n + 6n = -9n + 6(3n + 10) Combine like terms: -9n + 6n = -3n -12 + -3n = -9n + 6(3n + 10) Reorder the terms: -12 + -3n = -9n + 6(10 + 3n) -12 + -3n = -9n + (10 * 6 + 3n * 6) -12 + -3n = -9n + (60 + 18n) Reorder the terms: -12 + -3n = 60 + -9n + 18n Combine like terms: -9n + 18n = 9n -12 + -3n = 60 + 9n Solving -12 + -3n = 60 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -12 + -3n + -9n = 60 + 9n + -9n Combine like terms: -3n + -9n = -12n -12 + -12n = 60 + 9n + -9n Combine like terms: 9n + -9n = 0 -12 + -12n = 60 + 0 -12 + -12n = 60 Add '12' to each side of the equation. -12 + 12 + -12n = 60 + 12 Combine like terms: -12 + 12 = 0 0 + -12n = 60 + 12 -12n = 60 + 12 Combine like terms: 60 + 12 = 72 -12n = 72 Divide each side by '-12'. n = -6 Simplifying n = -6
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