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Simplifying 5 + 7t + -3 = 5t + 17 + -3r Reorder the terms: 5 + -3 + 7t = 5t + 17 + -3r Combine like terms: 5 + -3 = 2 2 + 7t = 5t + 17 + -3r Reorder the terms: 2 + 7t = 17 + -3r + 5t Solving 2 + 7t = 17 + -3r + 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. 2 + 7t + -5t = 17 + -3r + 5t + -5t Combine like terms: 7t + -5t = 2t 2 + 2t = 17 + -3r + 5t + -5t Combine like terms: 5t + -5t = 0 2 + 2t = 17 + -3r + 0 2 + 2t = 17 + -3r Add '-2' to each side of the equation. 2 + -2 + 2t = 17 + -2 + -3r Combine like terms: 2 + -2 = 0 0 + 2t = 17 + -2 + -3r 2t = 17 + -2 + -3r Combine like terms: 17 + -2 = 15 2t = 15 + -3r Divide each side by '2'. t = 7.5 + -1.5r Simplifying t = 7.5 + -1.5r
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