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Simplifying 0.5 + t + 3.5 + -2.5t = 1.5t Reorder the terms: 0.5 + 3.5 + t + -2.5t = 1.5t Combine like terms: 0.5 + 3.5 = 4 4 + t + -2.5t = 1.5t Combine like terms: t + -2.5t = -1.5t 4 + -1.5t = 1.5t Solving 4 + -1.5t = 1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5t' to each side of the equation. 4 + -1.5t + -1.5t = 1.5t + -1.5t Combine like terms: -1.5t + -1.5t = -3t 4 + -3t = 1.5t + -1.5t Combine like terms: 1.5t + -1.5t = 0.0 4 + -3t = 0.0 Add '-4' to each side of the equation. 4 + -4 + -3t = 0.0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0.0 + -4 -3t = 0.0 + -4 Combine like terms: 0.0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333
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