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Simplifying 3t + 17 = 5t + -75 Reorder the terms: 17 + 3t = 5t + -75 Reorder the terms: 17 + 3t = -75 + 5t Solving 17 + 3t = -75 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 17 + 3t + -5t = -75 + 5t + -5t Combine like terms: 3t + -5t = -2t 17 + -2t = -75 + 5t + -5t Combine like terms: 5t + -5t = 0 17 + -2t = -75 + 0 17 + -2t = -75 Add '-17' to each side of the equation. 17 + -17 + -2t = -75 + -17 Combine like terms: 17 + -17 = 0 0 + -2t = -75 + -17 -2t = -75 + -17 Combine like terms: -75 + -17 = -92 -2t = -92 Divide each side by '-2'. t = 46 Simplifying t = 46
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