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Simplifying 8 + 2t + -7 = 9t + 17 + -5t Reorder the terms: 8 + -7 + 2t = 9t + 17 + -5t Combine like terms: 8 + -7 = 1 1 + 2t = 9t + 17 + -5t Reorder the terms: 1 + 2t = 17 + 9t + -5t Combine like terms: 9t + -5t = 4t 1 + 2t = 17 + 4t Solving 1 + 2t = 17 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 2t + -4t = 17 + 4t + -4t Combine like terms: 2t + -4t = -2t 1 + -2t = 17 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + -2t = 17 + 0 1 + -2t = 17 Add '-1' to each side of the equation. 1 + -1 + -2t = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 17 + -1 -2t = 17 + -1 Combine like terms: 17 + -1 = 16 -2t = 16 Divide each side by '-2'. t = -8 Simplifying t = -8
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