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Simplifying 3.2 = 0.5(0.5t + 0.0625) Reorder the terms: 3.2 = 0.5(0.0625 + 0.5t) 3.2 = (0.0625 * 0.5 + 0.5t * 0.5) 3.2 = (0.03125 + 0.25t) Solving 3.2 = 0.03125 + 0.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.25t' to each side of the equation. 3.2 + -0.25t = 0.03125 + 0.25t + -0.25t Combine like terms: 0.25t + -0.25t = 0.00 3.2 + -0.25t = 0.03125 + 0.00 3.2 + -0.25t = 0.03125 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.25t = 0.03125 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.25t = 0.03125 + -3.2 -0.25t = 0.03125 + -3.2 Combine like terms: 0.03125 + -3.2 = -3.16875 -0.25t = -3.16875 Divide each side by '-0.25'. t = 12.675 Simplifying t = 12.675
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