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Simplifying 0.09(t + 50) + 0.15t = 52.5 Reorder the terms: 0.09(50 + t) + 0.15t = 52.5 (50 * 0.09 + t * 0.09) + 0.15t = 52.5 (4.5 + 0.09t) + 0.15t = 52.5 Combine like terms: 0.09t + 0.15t = 0.24t 4.5 + 0.24t = 52.5 Solving 4.5 + 0.24t = 52.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.24t = 52.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.24t = 52.5 + -4.5 0.24t = 52.5 + -4.5 Combine like terms: 52.5 + -4.5 = 48 0.24t = 48 Divide each side by '0.24'. t = 200 Simplifying t = 200
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