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Simplifying 0.74 + 0.42t = 1.74t + -1.02 Reorder the terms: 0.74 + 0.42t = -1.02 + 1.74t Solving 0.74 + 0.42t = -1.02 + 1.74t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.74t' to each side of the equation. 0.74 + 0.42t + -1.74t = -1.02 + 1.74t + -1.74t Combine like terms: 0.42t + -1.74t = -1.32t 0.74 + -1.32t = -1.02 + 1.74t + -1.74t Combine like terms: 1.74t + -1.74t = 0.00 0.74 + -1.32t = -1.02 + 0.00 0.74 + -1.32t = -1.02 Add '-0.74' to each side of the equation. 0.74 + -0.74 + -1.32t = -1.02 + -0.74 Combine like terms: 0.74 + -0.74 = 0.00 0.00 + -1.32t = -1.02 + -0.74 -1.32t = -1.02 + -0.74 Combine like terms: -1.02 + -0.74 = -1.76 -1.32t = -1.76 Divide each side by '-1.32'. t = 1.333333333 Simplifying t = 1.333333333
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