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Simplifying -6(-2n + -10) + 4n = 5(n + 12) Reorder the terms: -6(-10 + -2n) + 4n = 5(n + 12) (-10 * -6 + -2n * -6) + 4n = 5(n + 12) (60 + 12n) + 4n = 5(n + 12) Combine like terms: 12n + 4n = 16n 60 + 16n = 5(n + 12) Reorder the terms: 60 + 16n = 5(12 + n) 60 + 16n = (12 * 5 + n * 5) 60 + 16n = (60 + 5n) Add '-60' to each side of the equation. 60 + -60 + 16n = 60 + -60 + 5n Combine like terms: 60 + -60 = 0 0 + 16n = 60 + -60 + 5n 16n = 60 + -60 + 5n Combine like terms: 60 + -60 = 0 16n = 0 + 5n 16n = 5n Solving 16n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 16n + -5n = 5n + -5n Combine like terms: 16n + -5n = 11n 11n = 5n + -5n Combine like terms: 5n + -5n = 0 11n = 0 Divide each side by '11'. n = 0 Simplifying n = 0
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