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Simplifying 6(3n + 4) = 6(8n + 3) + 3 Reorder the terms: 6(4 + 3n) = 6(8n + 3) + 3 (4 * 6 + 3n * 6) = 6(8n + 3) + 3 (24 + 18n) = 6(8n + 3) + 3 Reorder the terms: 24 + 18n = 6(3 + 8n) + 3 24 + 18n = (3 * 6 + 8n * 6) + 3 24 + 18n = (18 + 48n) + 3 Reorder the terms: 24 + 18n = 18 + 3 + 48n Combine like terms: 18 + 3 = 21 24 + 18n = 21 + 48n Solving 24 + 18n = 21 + 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. 24 + 18n + -48n = 21 + 48n + -48n Combine like terms: 18n + -48n = -30n 24 + -30n = 21 + 48n + -48n Combine like terms: 48n + -48n = 0 24 + -30n = 21 + 0 24 + -30n = 21 Add '-24' to each side of the equation. 24 + -24 + -30n = 21 + -24 Combine like terms: 24 + -24 = 0 0 + -30n = 21 + -24 -30n = 21 + -24 Combine like terms: 21 + -24 = -3 -30n = -3 Divide each side by '-30'. n = 0.1 Simplifying n = 0.1
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