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Simplifying -0.5(t + 9) + 5.75t = 0.38t Reorder the terms: -0.5(9 + t) + 5.75t = 0.38t (9 * -0.5 + t * -0.5) + 5.75t = 0.38t (-4.5 + -0.5t) + 5.75t = 0.38t Combine like terms: -0.5t + 5.75t = 5.25t -4.5 + 5.25t = 0.38t Solving -4.5 + 5.25t = 0.38t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.38t' to each side of the equation. -4.5 + 5.25t + -0.38t = 0.38t + -0.38t Combine like terms: 5.25t + -0.38t = 4.87t -4.5 + 4.87t = 0.38t + -0.38t Combine like terms: 0.38t + -0.38t = 0.00 -4.5 + 4.87t = 0.00 Add '4.5' to each side of the equation. -4.5 + 4.5 + 4.87t = 0.00 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 4.87t = 0.00 + 4.5 4.87t = 0.00 + 4.5 Combine like terms: 0.00 + 4.5 = 4.5 4.87t = 4.5 Divide each side by '4.87'. t = 0.9240246407 Simplifying t = 0.9240246407
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