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Simplifying 0.75 + 0.45t = 1.57t + -0.93 Reorder the terms: 0.75 + 0.45t = -0.93 + 1.57t Solving 0.75 + 0.45t = -0.93 + 1.57t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.57t' to each side of the equation. 0.75 + 0.45t + -1.57t = -0.93 + 1.57t + -1.57t Combine like terms: 0.45t + -1.57t = -1.12t 0.75 + -1.12t = -0.93 + 1.57t + -1.57t Combine like terms: 1.57t + -1.57t = 0.00 0.75 + -1.12t = -0.93 + 0.00 0.75 + -1.12t = -0.93 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -1.12t = -0.93 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1.12t = -0.93 + -0.75 -1.12t = -0.93 + -0.75 Combine like terms: -0.93 + -0.75 = -1.68 -1.12t = -1.68 Divide each side by '-1.12'. t = 1.5 Simplifying t = 1.5
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