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Simplifying 0.5t + 2 = 0.8t + -5 Reorder the terms: 2 + 0.5t = 0.8t + -5 Reorder the terms: 2 + 0.5t = -5 + 0.8t Solving 2 + 0.5t = -5 + 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. 2 + 0.5t + -0.8t = -5 + 0.8t + -0.8t Combine like terms: 0.5t + -0.8t = -0.3t 2 + -0.3t = -5 + 0.8t + -0.8t Combine like terms: 0.8t + -0.8t = 0.0 2 + -0.3t = -5 + 0.0 2 + -0.3t = -5 Add '-2' to each side of the equation. 2 + -2 + -0.3t = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3t = -5 + -2 -0.3t = -5 + -2 Combine like terms: -5 + -2 = -7 -0.3t = -7 Divide each side by '-0.3'. t = 23.33333333 Simplifying t = 23.33333333
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