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Simplifying 0.2t + 0.8(t + -0.1) = 4.46 Reorder the terms: 0.2t + 0.8(-0.1 + t) = 4.46 0.2t + (-0.1 * 0.8 + t * 0.8) = 4.46 0.2t + (-0.08 + 0.8t) = 4.46 Reorder the terms: -0.08 + 0.2t + 0.8t = 4.46 Combine like terms: 0.2t + 0.8t = 1t -0.08 + 1t = 4.46 Solving -0.08 + 1t = 4.46 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.08' to each side of the equation. -0.08 + 0.08 + 1t = 4.46 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 1t = 4.46 + 0.08 1t = 4.46 + 0.08 Combine like terms: 4.46 + 0.08 = 4.54 1t = 4.54 Divide each side by '1'. t = 4.54 Simplifying t = 4.54
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