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Simplifying 0.25(t + 38) = 3.8 + t Reorder the terms: 0.25(38 + t) = 3.8 + t (38 * 0.25 + t * 0.25) = 3.8 + t (9.5 + 0.25t) = 3.8 + t Solving 9.5 + 0.25t = 3.8 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 9.5 + 0.25t + -1t = 3.8 + t + -1t Combine like terms: 0.25t + -1t = -0.75t 9.5 + -0.75t = 3.8 + t + -1t Combine like terms: t + -1t = 0 9.5 + -0.75t = 3.8 + 0 9.5 + -0.75t = 3.8 Add '-9.5' to each side of the equation. 9.5 + -9.5 + -0.75t = 3.8 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -0.75t = 3.8 + -9.5 -0.75t = 3.8 + -9.5 Combine like terms: 3.8 + -9.5 = -5.7 -0.75t = -5.7 Divide each side by '-0.75'. t = 7.6 Simplifying t = 7.6
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