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Simplifying 4(n + 6) + 6 = -18 + -4n Reorder the terms: 4(6 + n) + 6 = -18 + -4n (6 * 4 + n * 4) + 6 = -18 + -4n (24 + 4n) + 6 = -18 + -4n Reorder the terms: 24 + 6 + 4n = -18 + -4n Combine like terms: 24 + 6 = 30 30 + 4n = -18 + -4n Solving 30 + 4n = -18 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 30 + 4n + 4n = -18 + -4n + 4n Combine like terms: 4n + 4n = 8n 30 + 8n = -18 + -4n + 4n Combine like terms: -4n + 4n = 0 30 + 8n = -18 + 0 30 + 8n = -18 Add '-30' to each side of the equation. 30 + -30 + 8n = -18 + -30 Combine like terms: 30 + -30 = 0 0 + 8n = -18 + -30 8n = -18 + -30 Combine like terms: -18 + -30 = -48 8n = -48 Divide each side by '8'. n = -6 Simplifying n = -6
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