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Simplifying 12n + -8 + -3n = -5n + -12 + 16n Reorder the terms: -8 + 12n + -3n = -5n + -12 + 16n Combine like terms: 12n + -3n = 9n -8 + 9n = -5n + -12 + 16n Reorder the terms: -8 + 9n = -12 + -5n + 16n Combine like terms: -5n + 16n = 11n -8 + 9n = -12 + 11n Solving -8 + 9n = -12 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -8 + 9n + -11n = -12 + 11n + -11n Combine like terms: 9n + -11n = -2n -8 + -2n = -12 + 11n + -11n Combine like terms: 11n + -11n = 0 -8 + -2n = -12 + 0 -8 + -2n = -12 Add '8' to each side of the equation. -8 + 8 + -2n = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = -12 + 8 -2n = -12 + 8 Combine like terms: -12 + 8 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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