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Simplifying 3t + 1 = 0.75t + -20 Reorder the terms: 1 + 3t = 0.75t + -20 Reorder the terms: 1 + 3t = -20 + 0.75t Solving 1 + 3t = -20 + 0.75t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.75t' to each side of the equation. 1 + 3t + -0.75t = -20 + 0.75t + -0.75t Combine like terms: 3t + -0.75t = 2.25t 1 + 2.25t = -20 + 0.75t + -0.75t Combine like terms: 0.75t + -0.75t = 0.00 1 + 2.25t = -20 + 0.00 1 + 2.25t = -20 Add '-1' to each side of the equation. 1 + -1 + 2.25t = -20 + -1 Combine like terms: 1 + -1 = 0 0 + 2.25t = -20 + -1 2.25t = -20 + -1 Combine like terms: -20 + -1 = -21 2.25t = -21 Divide each side by '2.25'. t = -9.333333333 Simplifying t = -9.333333333
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