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Simplifying -1n + 18 = -8n + 6(n + 2) Reorder the terms: 18 + -1n = -8n + 6(n + 2) Reorder the terms: 18 + -1n = -8n + 6(2 + n) 18 + -1n = -8n + (2 * 6 + n * 6) 18 + -1n = -8n + (12 + 6n) Reorder the terms: 18 + -1n = 12 + -8n + 6n Combine like terms: -8n + 6n = -2n 18 + -1n = 12 + -2n Solving 18 + -1n = 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. 18 + -1n + 2n = 12 + -2n + 2n Combine like terms: -1n + 2n = 1n 18 + 1n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 18 + 1n = 12 + 0 18 + 1n = 12 Add '-18' to each side of the equation. 18 + -18 + 1n = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = 12 + -18 1n = 12 + -18 Combine like terms: 12 + -18 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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