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Simplifying 2t + -9 = -17 + 3t Reorder the terms: -9 + 2t = -17 + 3t Solving -9 + 2t = -17 + 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. -9 + 2t + -3t = -17 + 3t + -3t Combine like terms: 2t + -3t = -1t -9 + -1t = -17 + 3t + -3t Combine like terms: 3t + -3t = 0 -9 + -1t = -17 + 0 -9 + -1t = -17 Add '9' to each side of the equation. -9 + 9 + -1t = -17 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = -17 + 9 -1t = -17 + 9 Combine like terms: -17 + 9 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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