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Simplifying 2n + 18 = -6(n + 5) Reorder the terms: 18 + 2n = -6(n + 5) Reorder the terms: 18 + 2n = -6(5 + n) 18 + 2n = (5 * -6 + n * -6) 18 + 2n = (-30 + -6n) Solving 18 + 2n = -30 + -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. 18 + 2n + 6n = -30 + -6n + 6n Combine like terms: 2n + 6n = 8n 18 + 8n = -30 + -6n + 6n Combine like terms: -6n + 6n = 0 18 + 8n = -30 + 0 18 + 8n = -30 Add '-18' to each side of the equation. 18 + -18 + 8n = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 8n = -30 + -18 8n = -30 + -18 Combine like terms: -30 + -18 = -48 8n = -48 Divide each side by '8'. n = -6 Simplifying n = -6
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