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Simplifying 2.75t + 52.25 = 9.75t + 3.25 Reorder the terms: 52.25 + 2.75t = 9.75t + 3.25 Reorder the terms: 52.25 + 2.75t = 3.25 + 9.75t Solving 52.25 + 2.75t = 3.25 + 9.75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.75t' to each side of the equation. 52.25 + 2.75t + -9.75t = 3.25 + 9.75t + -9.75t Combine like terms: 2.75t + -9.75t = -7t 52.25 + -7t = 3.25 + 9.75t + -9.75t Combine like terms: 9.75t + -9.75t = 0.00 52.25 + -7t = 3.25 + 0.00 52.25 + -7t = 3.25 Add '-52.25' to each side of the equation. 52.25 + -52.25 + -7t = 3.25 + -52.25 Combine like terms: 52.25 + -52.25 = 0.00 0.00 + -7t = 3.25 + -52.25 -7t = 3.25 + -52.25 Combine like terms: 3.25 + -52.25 = -49 -7t = -49 Divide each side by '-7'. t = 7 Simplifying t = 7
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