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Simplifying -9 + -8 + -2t = 3t + 8 Combine like terms: -9 + -8 = -17 -17 + -2t = 3t + 8 Reorder the terms: -17 + -2t = 8 + 3t Solving -17 + -2t = 8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -17 + -2t + -3t = 8 + 3t + -3t Combine like terms: -2t + -3t = -5t -17 + -5t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 -17 + -5t = 8 + 0 -17 + -5t = 8 Add '17' to each side of the equation. -17 + 17 + -5t = 8 + 17 Combine like terms: -17 + 17 = 0 0 + -5t = 8 + 17 -5t = 8 + 17 Combine like terms: 8 + 17 = 25 -5t = 25 Divide each side by '-5'. t = -5 Simplifying t = -5
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