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