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Simplifying 0.5t + 1.25 + -1t = 2.5t + -1 Reorder the terms: 1.25 + 0.5t + -1t = 2.5t + -1 Combine like terms: 0.5t + -1t = -0.5t 1.25 + -0.5t = 2.5t + -1 Reorder the terms: 1.25 + -0.5t = -1 + 2.5t Solving 1.25 + -0.5t = -1 + 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. 1.25 + -0.5t + -2.5t = -1 + 2.5t + -2.5t Combine like terms: -0.5t + -2.5t = -3t 1.25 + -3t = -1 + 2.5t + -2.5t Combine like terms: 2.5t + -2.5t = 0.0 1.25 + -3t = -1 + 0.0 1.25 + -3t = -1 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -3t = -1 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -3t = -1 + -1.25 -3t = -1 + -1.25 Combine like terms: -1 + -1.25 = -2.25 -3t = -2.25 Divide each side by '-3'. t = 0.75 Simplifying t = 0.75
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