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Simplifying 8(2n + 4) = 8(8n + 3) + 6 Reorder the terms: 8(4 + 2n) = 8(8n + 3) + 6 (4 * 8 + 2n * 8) = 8(8n + 3) + 6 (32 + 16n) = 8(8n + 3) + 6 Reorder the terms: 32 + 16n = 8(3 + 8n) + 6 32 + 16n = (3 * 8 + 8n * 8) + 6 32 + 16n = (24 + 64n) + 6 Reorder the terms: 32 + 16n = 24 + 6 + 64n Combine like terms: 24 + 6 = 30 32 + 16n = 30 + 64n Solving 32 + 16n = 30 + 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. 32 + 16n + -64n = 30 + 64n + -64n Combine like terms: 16n + -64n = -48n 32 + -48n = 30 + 64n + -64n Combine like terms: 64n + -64n = 0 32 + -48n = 30 + 0 32 + -48n = 30 Add '-32' to each side of the equation. 32 + -32 + -48n = 30 + -32 Combine like terms: 32 + -32 = 0 0 + -48n = 30 + -32 -48n = 30 + -32 Combine like terms: 30 + -32 = -2 -48n = -2 Divide each side by '-48'. n = 0.04166666667 Simplifying n = 0.04166666667
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