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Simplifying 5t + 0.25(t + 16) = 4 + 0.75 Reorder the terms: 5t + 0.25(16 + t) = 4 + 0.75 5t + (16 * 0.25 + t * 0.25) = 4 + 0.75 5t + (4 + 0.25t) = 4 + 0.75 Reorder the terms: 4 + 5t + 0.25t = 4 + 0.75 Combine like terms: 5t + 0.25t = 5.25t 4 + 5.25t = 4 + 0.75 Combine like terms: 4 + 0.75 = 4.75 4 + 5.25t = 4.75 Solving 4 + 5.25t = 4.75 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5.25t = 4.75 + -4 Combine like terms: 4 + -4 = 0 0 + 5.25t = 4.75 + -4 5.25t = 4.75 + -4 Combine like terms: 4.75 + -4 = 0.75 5.25t = 0.75 Divide each side by '5.25'. t = 0.1428571429 Simplifying t = 0.1428571429
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