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Simplifying 8(2n + 4) = 6(8n + 3) + 8 Reorder the terms: 8(4 + 2n) = 6(8n + 3) + 8 (4 * 8 + 2n * 8) = 6(8n + 3) + 8 (32 + 16n) = 6(8n + 3) + 8 Reorder the terms: 32 + 16n = 6(3 + 8n) + 8 32 + 16n = (3 * 6 + 8n * 6) + 8 32 + 16n = (18 + 48n) + 8 Reorder the terms: 32 + 16n = 18 + 8 + 48n Combine like terms: 18 + 8 = 26 32 + 16n = 26 + 48n Solving 32 + 16n = 26 + 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. 32 + 16n + -48n = 26 + 48n + -48n Combine like terms: 16n + -48n = -32n 32 + -32n = 26 + 48n + -48n Combine like terms: 48n + -48n = 0 32 + -32n = 26 + 0 32 + -32n = 26 Add '-32' to each side of the equation. 32 + -32 + -32n = 26 + -32 Combine like terms: 32 + -32 = 0 0 + -32n = 26 + -32 -32n = 26 + -32 Combine like terms: 26 + -32 = -6 -32n = -6 Divide each side by '-32'. n = 0.1875 Simplifying n = 0.1875
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