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Simplifying 75 + 2t = 100 + -3t Solving 75 + 2t = 100 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 75 + 2t + 3t = 100 + -3t + 3t Combine like terms: 2t + 3t = 5t 75 + 5t = 100 + -3t + 3t Combine like terms: -3t + 3t = 0 75 + 5t = 100 + 0 75 + 5t = 100 Add '-75' to each side of the equation. 75 + -75 + 5t = 100 + -75 Combine like terms: 75 + -75 = 0 0 + 5t = 100 + -75 5t = 100 + -75 Combine like terms: 100 + -75 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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