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Simplifying 6 + 3t + -1 = 9t + 6 + -7t Reorder the terms: 6 + -1 + 3t = 9t + 6 + -7t Combine like terms: 6 + -1 = 5 5 + 3t = 9t + 6 + -7t Reorder the terms: 5 + 3t = 6 + 9t + -7t Combine like terms: 9t + -7t = 2t 5 + 3t = 6 + 2t Solving 5 + 3t = 6 + 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. 5 + 3t + -2t = 6 + 2t + -2t Combine like terms: 3t + -2t = 1t 5 + 1t = 6 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 1t = 6 + 0 5 + 1t = 6 Add '-5' to each side of the equation. 5 + -5 + 1t = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 6 + -5 1t = 6 + -5 Combine like terms: 6 + -5 = 1 1t = 1 Divide each side by '1'. t = 1 Simplifying t = 1
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