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Simplifying 3(2x + 3) = 8(n + 1) Reorder the terms: 3(3 + 2x) = 8(n + 1) (3 * 3 + 2x * 3) = 8(n + 1) (9 + 6x) = 8(n + 1) Reorder the terms: 9 + 6x = 8(1 + n) 9 + 6x = (1 * 8 + n * 8) 9 + 6x = (8 + 8n) Solving 9 + 6x = 8 + 8n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 8 + -9 + 8n Combine like terms: 9 + -9 = 0 0 + 6x = 8 + -9 + 8n 6x = 8 + -9 + 8n Combine like terms: 8 + -9 = -1 6x = -1 + 8n Divide each side by '6'. x = -0.1666666667 + 1.333333333n Simplifying x = -0.1666666667 + 1.333333333n
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