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Simplifying 9 + 9t + -2 = 8t + 34 + -2t Reorder the terms: 9 + -2 + 9t = 8t + 34 + -2t Combine like terms: 9 + -2 = 7 7 + 9t = 8t + 34 + -2t Reorder the terms: 7 + 9t = 34 + 8t + -2t Combine like terms: 8t + -2t = 6t 7 + 9t = 34 + 6t Solving 7 + 9t = 34 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 7 + 9t + -6t = 34 + 6t + -6t Combine like terms: 9t + -6t = 3t 7 + 3t = 34 + 6t + -6t Combine like terms: 6t + -6t = 0 7 + 3t = 34 + 0 7 + 3t = 34 Add '-7' to each side of the equation. 7 + -7 + 3t = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 3t = 34 + -7 3t = 34 + -7 Combine like terms: 34 + -7 = 27 3t = 27 Divide each side by '3'. t = 9 Simplifying t = 9
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