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Simplifying 8 + 0.5t = -2.5t Solving 8 + 0.5t = -2.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5t' to each side of the equation. 8 + 0.5t + 2.5t = -2.5t + 2.5t Combine like terms: 0.5t + 2.5t = 3t 8 + 3t = -2.5t + 2.5t Combine like terms: -2.5t + 2.5t = 0.0 8 + 3t = 0.0 Add '-8' to each side of the equation. 8 + -8 + 3t = 0.0 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = 0.0 + -8 3t = 0.0 + -8 Combine like terms: 0.0 + -8 = -8 3t = -8 Divide each side by '3'. t = -2.666666667 Simplifying t = -2.666666667
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