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Simplifying 8(2n + 3) = 6(7n + 1) + 6 Reorder the terms: 8(3 + 2n) = 6(7n + 1) + 6 (3 * 8 + 2n * 8) = 6(7n + 1) + 6 (24 + 16n) = 6(7n + 1) + 6 Reorder the terms: 24 + 16n = 6(1 + 7n) + 6 24 + 16n = (1 * 6 + 7n * 6) + 6 24 + 16n = (6 + 42n) + 6 Reorder the terms: 24 + 16n = 6 + 6 + 42n Combine like terms: 6 + 6 = 12 24 + 16n = 12 + 42n Solving 24 + 16n = 12 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 24 + 16n + -42n = 12 + 42n + -42n Combine like terms: 16n + -42n = -26n 24 + -26n = 12 + 42n + -42n Combine like terms: 42n + -42n = 0 24 + -26n = 12 + 0 24 + -26n = 12 Add '-24' to each side of the equation. 24 + -24 + -26n = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -26n = 12 + -24 -26n = 12 + -24 Combine like terms: 12 + -24 = -12 -26n = -12 Divide each side by '-26'. n = 0.4615384615 Simplifying n = 0.4615384615
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