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Simplifying 0.2t + 0.8(t + -0.4) = 1.53 Reorder the terms: 0.2t + 0.8(-0.4 + t) = 1.53 0.2t + (-0.4 * 0.8 + t * 0.8) = 1.53 0.2t + (-0.32 + 0.8t) = 1.53 Reorder the terms: -0.32 + 0.2t + 0.8t = 1.53 Combine like terms: 0.2t + 0.8t = 1t -0.32 + 1t = 1.53 Solving -0.32 + 1t = 1.53 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.32' to each side of the equation. -0.32 + 0.32 + 1t = 1.53 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 1t = 1.53 + 0.32 1t = 1.53 + 0.32 Combine like terms: 1.53 + 0.32 = 1.85 1t = 1.85 Divide each side by '1'. t = 1.85 Simplifying t = 1.85
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