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Simplifying -4(n + -6) = 12 + -1n Reorder the terms: -4(-6 + n) = 12 + -1n (-6 * -4 + n * -4) = 12 + -1n (24 + -4n) = 12 + -1n Solving 24 + -4n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 24 + -4n + n = 12 + -1n + n Combine like terms: -4n + n = -3n 24 + -3n = 12 + -1n + n Combine like terms: -1n + n = 0 24 + -3n = 12 + 0 24 + -3n = 12 Add '-24' to each side of the equation. 24 + -24 + -3n = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3n = 12 + -24 -3n = 12 + -24 Combine like terms: 12 + -24 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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