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Simplifying 2(n + 2) = -24 + -6(n + -2) Reorder the terms: 2(2 + n) = -24 + -6(n + -2) (2 * 2 + n * 2) = -24 + -6(n + -2) (4 + 2n) = -24 + -6(n + -2) Reorder the terms: 4 + 2n = -24 + -6(-2 + n) 4 + 2n = -24 + (-2 * -6 + n * -6) 4 + 2n = -24 + (12 + -6n) Combine like terms: -24 + 12 = -12 4 + 2n = -12 + -6n Solving 4 + 2n = -12 + -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. 4 + 2n + 6n = -12 + -6n + 6n Combine like terms: 2n + 6n = 8n 4 + 8n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 8n = -12 + 0 4 + 8n = -12 Add '-4' to each side of the equation. 4 + -4 + 8n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8n = -12 + -4 8n = -12 + -4 Combine like terms: -12 + -4 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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