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Simplifying -6(n + -4) + n = 12 + -3n Reorder the terms: -6(-4 + n) + n = 12 + -3n (-4 * -6 + n * -6) + n = 12 + -3n (24 + -6n) + n = 12 + -3n Combine like terms: -6n + n = -5n 24 + -5n = 12 + -3n Solving 24 + -5n = 12 + -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. 24 + -5n + 3n = 12 + -3n + 3n Combine like terms: -5n + 3n = -2n 24 + -2n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 24 + -2n = 12 + 0 24 + -2n = 12 Add '-24' to each side of the equation. 24 + -24 + -2n = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -2n = 12 + -24 -2n = 12 + -24 Combine like terms: 12 + -24 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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