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Simplifying 8(2n + 4) = 8(4n + 3) + 4 Reorder the terms: 8(4 + 2n) = 8(4n + 3) + 4 (4 * 8 + 2n * 8) = 8(4n + 3) + 4 (32 + 16n) = 8(4n + 3) + 4 Reorder the terms: 32 + 16n = 8(3 + 4n) + 4 32 + 16n = (3 * 8 + 4n * 8) + 4 32 + 16n = (24 + 32n) + 4 Reorder the terms: 32 + 16n = 24 + 4 + 32n Combine like terms: 24 + 4 = 28 32 + 16n = 28 + 32n Solving 32 + 16n = 28 + 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. 32 + 16n + -32n = 28 + 32n + -32n Combine like terms: 16n + -32n = -16n 32 + -16n = 28 + 32n + -32n Combine like terms: 32n + -32n = 0 32 + -16n = 28 + 0 32 + -16n = 28 Add '-32' to each side of the equation. 32 + -32 + -16n = 28 + -32 Combine like terms: 32 + -32 = 0 0 + -16n = 28 + -32 -16n = 28 + -32 Combine like terms: 28 + -32 = -4 -16n = -4 Divide each side by '-16'. n = 0.25 Simplifying n = 0.25
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