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Simplifying 8 + 10t + -5 = 9t + 11 + -7t Reorder the terms: 8 + -5 + 10t = 9t + 11 + -7t Combine like terms: 8 + -5 = 3 3 + 10t = 9t + 11 + -7t Reorder the terms: 3 + 10t = 11 + 9t + -7t Combine like terms: 9t + -7t = 2t 3 + 10t = 11 + 2t Solving 3 + 10t = 11 + 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. 3 + 10t + -2t = 11 + 2t + -2t Combine like terms: 10t + -2t = 8t 3 + 8t = 11 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 8t = 11 + 0 3 + 8t = 11 Add '-3' to each side of the equation. 3 + -3 + 8t = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 11 + -3 8t = 11 + -3 Combine like terms: 11 + -3 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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