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Simplifying 18 + -8n = 4n + -6(7n + 2) Reorder the terms: 18 + -8n = 4n + -6(2 + 7n) 18 + -8n = 4n + (2 * -6 + 7n * -6) 18 + -8n = 4n + (-12 + -42n) Reorder the terms: 18 + -8n = -12 + 4n + -42n Combine like terms: 4n + -42n = -38n 18 + -8n = -12 + -38n Solving 18 + -8n = -12 + -38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38n' to each side of the equation. 18 + -8n + 38n = -12 + -38n + 38n Combine like terms: -8n + 38n = 30n 18 + 30n = -12 + -38n + 38n Combine like terms: -38n + 38n = 0 18 + 30n = -12 + 0 18 + 30n = -12 Add '-18' to each side of the equation. 18 + -18 + 30n = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 30n = -12 + -18 30n = -12 + -18 Combine like terms: -12 + -18 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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