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Simplifying 75(t + 2) = 115t Reorder the terms: 75(2 + t) = 115t (2 * 75 + t * 75) = 115t (150 + 75t) = 115t Solving 150 + 75t = 115t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-115t' to each side of the equation. 150 + 75t + -115t = 115t + -115t Combine like terms: 75t + -115t = -40t 150 + -40t = 115t + -115t Combine like terms: 115t + -115t = 0 150 + -40t = 0 Add '-150' to each side of the equation. 150 + -150 + -40t = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -40t = 0 + -150 -40t = 0 + -150 Combine like terms: 0 + -150 = -150 -40t = -150 Divide each side by '-40'. t = 3.75 Simplifying t = 3.75
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