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Simplifying 0.4 + 3t + -0.25 = 1.15 + 2t Reorder the terms: 0.4 + -0.25 + 3t = 1.15 + 2t Combine like terms: 0.4 + -0.25 = 0.15 0.15 + 3t = 1.15 + 2t Solving 0.15 + 3t = 1.15 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 0.15 + 3t + -2t = 1.15 + 2t + -2t Combine like terms: 3t + -2t = 1t 0.15 + 1t = 1.15 + 2t + -2t Combine like terms: 2t + -2t = 0 0.15 + 1t = 1.15 + 0 0.15 + 1t = 1.15 Add '-0.15' to each side of the equation. 0.15 + -0.15 + 1t = 1.15 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 1t = 1.15 + -0.15 1t = 1.15 + -0.15 Combine like terms: 1.15 + -0.15 = 1 1t = 1 Divide each side by '1'. t = 1 Simplifying t = 1
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