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Simplifying 0.52 + 0.13t = 1.45t + -0.36 Reorder the terms: 0.52 + 0.13t = -0.36 + 1.45t Solving 0.52 + 0.13t = -0.36 + 1.45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.45t' to each side of the equation. 0.52 + 0.13t + -1.45t = -0.36 + 1.45t + -1.45t Combine like terms: 0.13t + -1.45t = -1.32t 0.52 + -1.32t = -0.36 + 1.45t + -1.45t Combine like terms: 1.45t + -1.45t = 0.00 0.52 + -1.32t = -0.36 + 0.00 0.52 + -1.32t = -0.36 Add '-0.52' to each side of the equation. 0.52 + -0.52 + -1.32t = -0.36 + -0.52 Combine like terms: 0.52 + -0.52 = 0.00 0.00 + -1.32t = -0.36 + -0.52 -1.32t = -0.36 + -0.52 Combine like terms: -0.36 + -0.52 = -0.88 -1.32t = -0.88 Divide each side by '-1.32'. t = 0.6666666667 Simplifying t = 0.6666666667
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