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Simplifying 0.3t + -0.6 = 0.8t + 3.8 Reorder the terms: -0.6 + 0.3t = 0.8t + 3.8 Reorder the terms: -0.6 + 0.3t = 3.8 + 0.8t Solving -0.6 + 0.3t = 3.8 + 0.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8t' to each side of the equation. -0.6 + 0.3t + -0.8t = 3.8 + 0.8t + -0.8t Combine like terms: 0.3t + -0.8t = -0.5t -0.6 + -0.5t = 3.8 + 0.8t + -0.8t Combine like terms: 0.8t + -0.8t = 0.0 -0.6 + -0.5t = 3.8 + 0.0 -0.6 + -0.5t = 3.8 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.5t = 3.8 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.5t = 3.8 + 0.6 -0.5t = 3.8 + 0.6 Combine like terms: 3.8 + 0.6 = 4.4 -0.5t = 4.4 Divide each side by '-0.5'. t = -8.8 Simplifying t = -8.8
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