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Simplifying 0.65 + 0.41t = 1.69t + 1.27 Reorder the terms: 0.65 + 0.41t = 1.27 + 1.69t Solving 0.65 + 0.41t = 1.27 + 1.69t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.69t' to each side of the equation. 0.65 + 0.41t + -1.69t = 1.27 + 1.69t + -1.69t Combine like terms: 0.41t + -1.69t = -1.28t 0.65 + -1.28t = 1.27 + 1.69t + -1.69t Combine like terms: 1.69t + -1.69t = 0.00 0.65 + -1.28t = 1.27 + 0.00 0.65 + -1.28t = 1.27 Add '-0.65' to each side of the equation. 0.65 + -0.65 + -1.28t = 1.27 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + -1.28t = 1.27 + -0.65 -1.28t = 1.27 + -0.65 Combine like terms: 1.27 + -0.65 = 0.62 -1.28t = 0.62 Divide each side by '-1.28'. t = -0.484375 Simplifying t = -0.484375
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