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Simplifying 5 + 9t + -2 = 9t + 17 + -7t Reorder the terms: 5 + -2 + 9t = 9t + 17 + -7t Combine like terms: 5 + -2 = 3 3 + 9t = 9t + 17 + -7t Reorder the terms: 3 + 9t = 17 + 9t + -7t Combine like terms: 9t + -7t = 2t 3 + 9t = 17 + 2t Solving 3 + 9t = 17 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 3 + 9t + -2t = 17 + 2t + -2t Combine like terms: 9t + -2t = 7t 3 + 7t = 17 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 7t = 17 + 0 3 + 7t = 17 Add '-3' to each side of the equation. 3 + -3 + 7t = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 7t = 17 + -3 7t = 17 + -3 Combine like terms: 17 + -3 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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