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Simplifying 24 + -5n = -2(n + -6) Reorder the terms: 24 + -5n = -2(-6 + n) 24 + -5n = (-6 * -2 + n * -2) 24 + -5n = (12 + -2n) Solving 24 + -5n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 24 + -5n + 2n = 12 + -2n + 2n Combine like terms: -5n + 2n = -3n 24 + -3n = 12 + -2n + 2n Combine like terms: -2n + 2n = 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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