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Simplifying t + 0.5 = 0.25t + 2 Reorder the terms: 0.5 + t = 0.25t + 2 Reorder the terms: 0.5 + t = 2 + 0.25t Solving 0.5 + t = 2 + 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. 0.5 + t + -0.25t = 2 + 0.25t + -0.25t Combine like terms: t + -0.25t = 0.75t 0.5 + 0.75t = 2 + 0.25t + -0.25t Combine like terms: 0.25t + -0.25t = 0.00 0.5 + 0.75t = 2 + 0.00 0.5 + 0.75t = 2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.75t = 2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.75t = 2 + -0.5 0.75t = 2 + -0.5 Combine like terms: 2 + -0.5 = 1.5 0.75t = 1.5 Divide each side by '0.75'. t = 2 Simplifying t = 2
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