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Simplifying -0.5t + -4.5 + 5.75t = 0.375t Reorder the terms: -4.5 + -0.5t + 5.75t = 0.375t Combine like terms: -0.5t + 5.75t = 5.25t -4.5 + 5.25t = 0.375t Solving -4.5 + 5.25t = 0.375t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.375t' to each side of the equation. -4.5 + 5.25t + -0.375t = 0.375t + -0.375t Combine like terms: 5.25t + -0.375t = 4.875t -4.5 + 4.875t = 0.375t + -0.375t Combine like terms: 0.375t + -0.375t = 0.000 -4.5 + 4.875t = 0.000 Add '4.5' to each side of the equation. -4.5 + 4.5 + 4.875t = 0.000 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 4.875t = 0.000 + 4.5 4.875t = 0.000 + 4.5 Combine like terms: 0.000 + 4.5 = 4.5 4.875t = 4.5 Divide each side by '4.875'. t = 0.9230769231 Simplifying t = 0.9230769231
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