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Simplifying 75t = 100(t + -2) Reorder the terms: 75t = 100(-2 + t) 75t = (-2 * 100 + t * 100) 75t = (-200 + 100t) Solving 75t = -200 + 100t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-100t' to each side of the equation. 75t + -100t = -200 + 100t + -100t Combine like terms: 75t + -100t = -25t -25t = -200 + 100t + -100t Combine like terms: 100t + -100t = 0 -25t = -200 + 0 -25t = -200 Divide each side by '-25'. t = 8 Simplifying t = 8
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