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Simplifying -6t + 17 = 3t + -34 Reorder the terms: 17 + -6t = 3t + -34 Reorder the terms: 17 + -6t = -34 + 3t Solving 17 + -6t = -34 + 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 + -6t + -3t = -34 + 3t + -3t Combine like terms: -6t + -3t = -9t 17 + -9t = -34 + 3t + -3t Combine like terms: 3t + -3t = 0 17 + -9t = -34 + 0 17 + -9t = -34 Add '-17' to each side of the equation. 17 + -17 + -9t = -34 + -17 Combine like terms: 17 + -17 = 0 0 + -9t = -34 + -17 -9t = -34 + -17 Combine like terms: -34 + -17 = -51 -9t = -51 Divide each side by '-9'. t = 5.666666667 Simplifying t = 5.666666667
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