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Simplifying -24 = 2(n + 3) + -2(3 + -3n) Reorder the terms: -24 = 2(3 + n) + -2(3 + -3n) -24 = (3 * 2 + n * 2) + -2(3 + -3n) -24 = (6 + 2n) + -2(3 + -3n) -24 = 6 + 2n + (3 * -2 + -3n * -2) -24 = 6 + 2n + (-6 + 6n) Reorder the terms: -24 = 6 + -6 + 2n + 6n Combine like terms: 6 + -6 = 0 -24 = 0 + 2n + 6n -24 = 2n + 6n Combine like terms: 2n + 6n = 8n -24 = 8n Solving -24 = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -24 + -8n = 8n + -8n Combine like terms: 8n + -8n = 0 -24 + -8n = 0 Add '24' to each side of the equation. -24 + 24 + -8n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8n = 0 + 24 -8n = 0 + 24 Combine like terms: 0 + 24 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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