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Simplifying 0.51 + 0.34t = 1.69t + -0.39 Reorder the terms: 0.51 + 0.34t = -0.39 + 1.69t Solving 0.51 + 0.34t = -0.39 + 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. 0.51 + 0.34t + -1.69t = -0.39 + 1.69t + -1.69t Combine like terms: 0.34t + -1.69t = -1.35t 0.51 + -1.35t = -0.39 + 1.69t + -1.69t Combine like terms: 1.69t + -1.69t = 0.00 0.51 + -1.35t = -0.39 + 0.00 0.51 + -1.35t = -0.39 Add '-0.51' to each side of the equation. 0.51 + -0.51 + -1.35t = -0.39 + -0.51 Combine like terms: 0.51 + -0.51 = 0.00 0.00 + -1.35t = -0.39 + -0.51 -1.35t = -0.39 + -0.51 Combine like terms: -0.39 + -0.51 = -0.9 -1.35t = -0.9 Divide each side by '-1.35'. t = 0.6666666667 Simplifying t = 0.6666666667
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