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Simplifying 0.51 + 0.12t = 1.80t + -0.61 Reorder the terms: 0.51 + 0.12t = -0.61 + 1.80t Solving 0.51 + 0.12t = -0.61 + 1.80t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.80t' to each side of the equation. 0.51 + 0.12t + -1.80t = -0.61 + 1.80t + -1.80t Combine like terms: 0.12t + -1.80t = -1.68t 0.51 + -1.68t = -0.61 + 1.80t + -1.80t Combine like terms: 1.80t + -1.80t = 0.00 0.51 + -1.68t = -0.61 + 0.00 0.51 + -1.68t = -0.61 Add '-0.51' to each side of the equation. 0.51 + -0.51 + -1.68t = -0.61 + -0.51 Combine like terms: 0.51 + -0.51 = 0.00 0.00 + -1.68t = -0.61 + -0.51 -1.68t = -0.61 + -0.51 Combine like terms: -0.61 + -0.51 = -1.12 -1.68t = -1.12 Divide each side by '-1.68'. t = 0.6666666667 Simplifying t = 0.6666666667
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