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Simplifying 8(3n + 3) = 8(8n + 3) + 4 Reorder the terms: 8(3 + 3n) = 8(8n + 3) + 4 (3 * 8 + 3n * 8) = 8(8n + 3) + 4 (24 + 24n) = 8(8n + 3) + 4 Reorder the terms: 24 + 24n = 8(3 + 8n) + 4 24 + 24n = (3 * 8 + 8n * 8) + 4 24 + 24n = (24 + 64n) + 4 Reorder the terms: 24 + 24n = 24 + 4 + 64n Combine like terms: 24 + 4 = 28 24 + 24n = 28 + 64n Solving 24 + 24n = 28 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 24 + 24n + -64n = 28 + 64n + -64n Combine like terms: 24n + -64n = -40n 24 + -40n = 28 + 64n + -64n Combine like terms: 64n + -64n = 0 24 + -40n = 28 + 0 24 + -40n = 28 Add '-24' to each side of the equation. 24 + -24 + -40n = 28 + -24 Combine like terms: 24 + -24 = 0 0 + -40n = 28 + -24 -40n = 28 + -24 Combine like terms: 28 + -24 = 4 -40n = 4 Divide each side by '-40'. n = -0.1 Simplifying n = -0.1
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