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Simplifying 0.74 + 0.45t = 2.73t + -0.97 Reorder the terms: 0.74 + 0.45t = -0.97 + 2.73t Solving 0.74 + 0.45t = -0.97 + 2.73t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.73t' to each side of the equation. 0.74 + 0.45t + -2.73t = -0.97 + 2.73t + -2.73t Combine like terms: 0.45t + -2.73t = -2.28t 0.74 + -2.28t = -0.97 + 2.73t + -2.73t Combine like terms: 2.73t + -2.73t = 0.00 0.74 + -2.28t = -0.97 + 0.00 0.74 + -2.28t = -0.97 Add '-0.74' to each side of the equation. 0.74 + -0.74 + -2.28t = -0.97 + -0.74 Combine like terms: 0.74 + -0.74 = 0.00 0.00 + -2.28t = -0.97 + -0.74 -2.28t = -0.97 + -0.74 Combine like terms: -0.97 + -0.74 = -1.71 -2.28t = -1.71 Divide each side by '-2.28'. t = 0.75 Simplifying t = 0.75
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