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Simplifying 2(2n + 2) = 8(4n + 1) + 2 Reorder the terms: 2(2 + 2n) = 8(4n + 1) + 2 (2 * 2 + 2n * 2) = 8(4n + 1) + 2 (4 + 4n) = 8(4n + 1) + 2 Reorder the terms: 4 + 4n = 8(1 + 4n) + 2 4 + 4n = (1 * 8 + 4n * 8) + 2 4 + 4n = (8 + 32n) + 2 Reorder the terms: 4 + 4n = 8 + 2 + 32n Combine like terms: 8 + 2 = 10 4 + 4n = 10 + 32n Solving 4 + 4n = 10 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 4 + 4n + -32n = 10 + 32n + -32n Combine like terms: 4n + -32n = -28n 4 + -28n = 10 + 32n + -32n Combine like terms: 32n + -32n = 0 4 + -28n = 10 + 0 4 + -28n = 10 Add '-4' to each side of the equation. 4 + -4 + -28n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -28n = 10 + -4 -28n = 10 + -4 Combine like terms: 10 + -4 = 6 -28n = 6 Divide each side by '-28'. n = -0.2142857143 Simplifying n = -0.2142857143
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