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Simplifying 3 + 2t + -1 = 9t + 17 + -2t Reorder the terms: 3 + -1 + 2t = 9t + 17 + -2t Combine like terms: 3 + -1 = 2 2 + 2t = 9t + 17 + -2t Reorder the terms: 2 + 2t = 17 + 9t + -2t Combine like terms: 9t + -2t = 7t 2 + 2t = 17 + 7t Solving 2 + 2t = 17 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 2 + 2t + -7t = 17 + 7t + -7t Combine like terms: 2t + -7t = -5t 2 + -5t = 17 + 7t + -7t Combine like terms: 7t + -7t = 0 2 + -5t = 17 + 0 2 + -5t = 17 Add '-2' to each side of the equation. 2 + -2 + -5t = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = 17 + -2 -5t = 17 + -2 Combine like terms: 17 + -2 = 15 -5t = 15 Divide each side by '-5'. t = -3 Simplifying t = -3
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