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Simplifying -0.5(t + 9) + 5.75 = 0.37t Reorder the terms: -0.5(9 + t) + 5.75 = 0.37t (9 * -0.5 + t * -0.5) + 5.75 = 0.37t (-4.5 + -0.5t) + 5.75 = 0.37t Reorder the terms: -4.5 + 5.75 + -0.5t = 0.37t Combine like terms: -4.5 + 5.75 = 1.25 1.25 + -0.5t = 0.37t Solving 1.25 + -0.5t = 0.37t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.37t' to each side of the equation. 1.25 + -0.5t + -0.37t = 0.37t + -0.37t Combine like terms: -0.5t + -0.37t = -0.87t 1.25 + -0.87t = 0.37t + -0.37t Combine like terms: 0.37t + -0.37t = 0.00 1.25 + -0.87t = 0.00 Add '-1.25' to each side of the equation. 1.25 + -1.25 + -0.87t = 0.00 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.87t = 0.00 + -1.25 -0.87t = 0.00 + -1.25 Combine like terms: 0.00 + -1.25 = -1.25 -0.87t = -1.25 Divide each side by '-0.87'. t = 1.436781609 Simplifying t = 1.436781609
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