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Simplifying 38 + 2n = 8(1 + 4n) 38 + 2n = (1 * 8 + 4n * 8) 38 + 2n = (8 + 32n) Solving 38 + 2n = 8 + 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. 38 + 2n + -32n = 8 + 32n + -32n Combine like terms: 2n + -32n = -30n 38 + -30n = 8 + 32n + -32n Combine like terms: 32n + -32n = 0 38 + -30n = 8 + 0 38 + -30n = 8 Add '-38' to each side of the equation. 38 + -38 + -30n = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -30n = 8 + -38 -30n = 8 + -38 Combine like terms: 8 + -38 = -30 -30n = -30 Divide each side by '-30'. n = 1 Simplifying n = 1
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