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Simplifying 2(n + -6) = 24 + 6n Reorder the terms: 2(-6 + n) = 24 + 6n (-6 * 2 + n * 2) = 24 + 6n (-12 + 2n) = 24 + 6n Solving -12 + 2n = 24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -12 + 2n + -6n = 24 + 6n + -6n Combine like terms: 2n + -6n = -4n -12 + -4n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + -4n = 24 + 0 -12 + -4n = 24 Add '12' to each side of the equation. -12 + 12 + -4n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -4n = 24 + 12 -4n = 24 + 12 Combine like terms: 24 + 12 = 36 -4n = 36 Divide each side by '-4'. n = -9 Simplifying n = -9
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