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Simplifying 6(5 + 5n) = 6(8n + 2) (5 * 6 + 5n * 6) = 6(8n + 2) (30 + 30n) = 6(8n + 2) Reorder the terms: 30 + 30n = 6(2 + 8n) 30 + 30n = (2 * 6 + 8n * 6) 30 + 30n = (12 + 48n) Solving 30 + 30n = 12 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 30 + 30n + -48n = 12 + 48n + -48n Combine like terms: 30n + -48n = -18n 30 + -18n = 12 + 48n + -48n Combine like terms: 48n + -48n = 0 30 + -18n = 12 + 0 30 + -18n = 12 Add '-30' to each side of the equation. 30 + -30 + -18n = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -18n = 12 + -30 -18n = 12 + -30 Combine like terms: 12 + -30 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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