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Simplifying 9 + 2t + -7 = 8 + 6 + -5t Reorder the terms: 9 + -7 + 2t = 8 + 6 + -5t Combine like terms: 9 + -7 = 2 2 + 2t = 8 + 6 + -5t Combine like terms: 8 + 6 = 14 2 + 2t = 14 + -5t Solving 2 + 2t = 14 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 2 + 2t + 5t = 14 + -5t + 5t Combine like terms: 2t + 5t = 7t 2 + 7t = 14 + -5t + 5t Combine like terms: -5t + 5t = 0 2 + 7t = 14 + 0 2 + 7t = 14 Add '-2' to each side of the equation. 2 + -2 + 7t = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = 14 + -2 7t = 14 + -2 Combine like terms: 14 + -2 = 12 7t = 12 Divide each side by '7'. t = 1.714285714 Simplifying t = 1.714285714
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