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Simplifying 0.25(t + 32) = 3.2 + t Reorder the terms: 0.25(32 + t) = 3.2 + t (32 * 0.25 + t * 0.25) = 3.2 + t (8 + 0.25t) = 3.2 + t Solving 8 + 0.25t = 3.2 + 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. 8 + 0.25t + -1t = 3.2 + t + -1t Combine like terms: 0.25t + -1t = -0.75t 8 + -0.75t = 3.2 + t + -1t Combine like terms: t + -1t = 0 8 + -0.75t = 3.2 + 0 8 + -0.75t = 3.2 Add '-8' to each side of the equation. 8 + -8 + -0.75t = 3.2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.75t = 3.2 + -8 -0.75t = 3.2 + -8 Combine like terms: 3.2 + -8 = -4.8 -0.75t = -4.8 Divide each side by '-0.75'. t = 6.4 Simplifying t = 6.4
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