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Simplifying -5(t + 9) + 5.75 = 0.37t Reorder the terms: -5(9 + t) + 5.75 = 0.37t (9 * -5 + t * -5) + 5.75 = 0.37t (-45 + -5t) + 5.75 = 0.37t Reorder the terms: -45 + 5.75 + -5t = 0.37t Combine like terms: -45 + 5.75 = -39.25 -39.25 + -5t = 0.37t Solving -39.25 + -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. -39.25 + -5t + -0.37t = 0.37t + -0.37t Combine like terms: -5t + -0.37t = -5.37t -39.25 + -5.37t = 0.37t + -0.37t Combine like terms: 0.37t + -0.37t = 0.00 -39.25 + -5.37t = 0.00 Add '39.25' to each side of the equation. -39.25 + 39.25 + -5.37t = 0.00 + 39.25 Combine like terms: -39.25 + 39.25 = 0.00 0.00 + -5.37t = 0.00 + 39.25 -5.37t = 0.00 + 39.25 Combine like terms: 0.00 + 39.25 = 39.25 -5.37t = 39.25 Divide each side by '-5.37'. t = -7.309124767 Simplifying t = -7.309124767
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