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Simplifying 8th + -1012t = -6t + 10 + 9t Reorder the terms: 8ht + -1012t = 10 + -6t + 9t Combine like terms: -6t + 9t = 3t 8ht + -1012t = 10 + 3t Solving 8ht + -1012t = 10 + 3t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '1012t' to each side of the equation. 8ht + -1012t + 1012t = 10 + 3t + 1012t Combine like terms: -1012t + 1012t = 0 8ht + 0 = 10 + 3t + 1012t 8ht = 10 + 3t + 1012t Combine like terms: 3t + 1012t = 1015t 8ht = 10 + 1015t Divide each side by '8t'. h = 1.25t-1 + 126.875 Simplifying h = 1.25t-1 + 126.875 Reorder the terms: h = 126.875 + 1.25t-1
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