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Simplifying 52 = 0.5n(8 + 5) Combine like terms: 8 + 5 = 13 52 = 0.5n(13) Reorder the terms for easier multiplication: 52 = 0.5 * 13n Multiply 0.5 * 13 52 = 6.5n Solving 52 = 6.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6.5n' to each side of the equation. 52 + -6.5n = 6.5n + -6.5n Combine like terms: 6.5n + -6.5n = 0.0 52 + -6.5n = 0.0 Add '-52' to each side of the equation. 52 + -52 + -6.5n = 0.0 + -52 Combine like terms: 52 + -52 = 0 0 + -6.5n = 0.0 + -52 -6.5n = 0.0 + -52 Combine like terms: 0.0 + -52 = -52 -6.5n = -52 Divide each side by '-6.5'. n = 8 Simplifying n = 8
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