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Simplifying 18 + 8n = 5n + -2(6 + n) 18 + 8n = 5n + (6 * -2 + n * -2) 18 + 8n = 5n + (-12 + -2n) Reorder the terms: 18 + 8n = -12 + 5n + -2n Combine like terms: 5n + -2n = 3n 18 + 8n = -12 + 3n Solving 18 + 8n = -12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 18 + 8n + -3n = -12 + 3n + -3n Combine like terms: 8n + -3n = 5n 18 + 5n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + 5n = -12 + 0 18 + 5n = -12 Add '-18' to each side of the equation. 18 + -18 + 5n = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 5n = -12 + -18 5n = -12 + -18 Combine like terms: -12 + -18 = -30 5n = -30 Divide each side by '5'. n = -6 Simplifying n = -6
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