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Simplifying 0.59 + 0.45t = 1.74t + -1.13 Reorder the terms: 0.59 + 0.45t = -1.13 + 1.74t Solving 0.59 + 0.45t = -1.13 + 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. 0.59 + 0.45t + -1.74t = -1.13 + 1.74t + -1.74t Combine like terms: 0.45t + -1.74t = -1.29t 0.59 + -1.29t = -1.13 + 1.74t + -1.74t Combine like terms: 1.74t + -1.74t = 0.00 0.59 + -1.29t = -1.13 + 0.00 0.59 + -1.29t = -1.13 Add '-0.59' to each side of the equation. 0.59 + -0.59 + -1.29t = -1.13 + -0.59 Combine like terms: 0.59 + -0.59 = 0.00 0.00 + -1.29t = -1.13 + -0.59 -1.29t = -1.13 + -0.59 Combine like terms: -1.13 + -0.59 = -1.72 -1.29t = -1.72 Divide each side by '-1.29'. t = 1.333333333 Simplifying t = 1.333333333
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