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Simplifying 0.5 + 0.25(t + 16) = 4 + 0.75 Reorder the terms: 0.5 + 0.25(16 + t) = 4 + 0.75 0.5 + (16 * 0.25 + t * 0.25) = 4 + 0.75 0.5 + (4 + 0.25t) = 4 + 0.75 Combine like terms: 0.5 + 4 = 4.5 4.5 + 0.25t = 4 + 0.75 Combine like terms: 4 + 0.75 = 4.75 4.5 + 0.25t = 4.75 Solving 4.5 + 0.25t = 4.75 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 + 0.25t = 4.75 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.25t = 4.75 + -4.5 0.25t = 4.75 + -4.5 Combine like terms: 4.75 + -4.5 = 0.25 0.25t = 0.25 Divide each side by '0.25'. t = 1 Simplifying t = 1
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