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Simplifying 23 = 8(5n + 2) Reorder the terms: 23 = 8(2 + 5n) 23 = (2 * 8 + 5n * 8) 23 = (16 + 40n) Solving 23 = 16 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 23 + -40n = 16 + 40n + -40n Combine like terms: 40n + -40n = 0 23 + -40n = 16 + 0 23 + -40n = 16 Add '-23' to each side of the equation. 23 + -23 + -40n = 16 + -23 Combine like terms: 23 + -23 = 0 0 + -40n = 16 + -23 -40n = 16 + -23 Combine like terms: 16 + -23 = -7 -40n = -7 Divide each side by '-40'. n = 0.175 Simplifying n = 0.175
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