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Simplifying 0.3t + 0.8(40 + t) = 28.5 0.3t + (40 * 0.8 + t * 0.8) = 28.5 0.3t + (32 + 0.8t) = 28.5 Reorder the terms: 32 + 0.3t + 0.8t = 28.5 Combine like terms: 0.3t + 0.8t = 1.1t 32 + 1.1t = 28.5 Solving 32 + 1.1t = 28.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 1.1t = 28.5 + -32 Combine like terms: 32 + -32 = 0 0 + 1.1t = 28.5 + -32 1.1t = 28.5 + -32 Combine like terms: 28.5 + -32 = -3.5 1.1t = -3.5 Divide each side by '1.1'. t = -3.181818182 Simplifying t = -3.181818182
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