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Simplifying 0.77 + 0.27t = 1.83t + -0.27 Reorder the terms: 0.77 + 0.27t = -0.27 + 1.83t Solving 0.77 + 0.27t = -0.27 + 1.83t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.83t' to each side of the equation. 0.77 + 0.27t + -1.83t = -0.27 + 1.83t + -1.83t Combine like terms: 0.27t + -1.83t = -1.56t 0.77 + -1.56t = -0.27 + 1.83t + -1.83t Combine like terms: 1.83t + -1.83t = 0.00 0.77 + -1.56t = -0.27 + 0.00 0.77 + -1.56t = -0.27 Add '-0.77' to each side of the equation. 0.77 + -0.77 + -1.56t = -0.27 + -0.77 Combine like terms: 0.77 + -0.77 = 0.00 0.00 + -1.56t = -0.27 + -0.77 -1.56t = -0.27 + -0.77 Combine like terms: -0.27 + -0.77 = -1.04 -1.56t = -1.04 Divide each side by '-1.56'. t = 0.6666666667 Simplifying t = 0.6666666667
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