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Simplifying 8 + 3t + -6 = 9t + 3 + -7t Reorder the terms: 8 + -6 + 3t = 9t + 3 + -7t Combine like terms: 8 + -6 = 2 2 + 3t = 9t + 3 + -7t Reorder the terms: 2 + 3t = 3 + 9t + -7t Combine like terms: 9t + -7t = 2t 2 + 3t = 3 + 2t Solving 2 + 3t = 3 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 2 + 3t + -2t = 3 + 2t + -2t Combine like terms: 3t + -2t = 1t 2 + 1t = 3 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 1t = 3 + 0 2 + 1t = 3 Add '-2' to each side of the equation. 2 + -2 + 1t = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1t = 3 + -2 1t = 3 + -2 Combine like terms: 3 + -2 = 1 1t = 1 Divide each side by '1'. t = 1 Simplifying t = 1
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