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Simplifying 5t + 3 + 4t + -8th = 1 + 3 Reorder the terms: 3 + -8ht + 5t + 4t = 1 + 3 Combine like terms: 5t + 4t = 9t 3 + -8ht + 9t = 1 + 3 Combine like terms: 1 + 3 = 4 3 + -8ht + 9t = 4 Solving 3 + -8ht + 9t = 4 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -8ht + -3 + 9t = 4 + -3 Reorder the terms: 3 + -3 + -8ht + 9t = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -8ht + 9t = 4 + -3 -8ht + 9t = 4 + -3 Combine like terms: 4 + -3 = 1 -8ht + 9t = 1 Add '-9t' to each side of the equation. -8ht + 9t + -9t = 1 + -9t Combine like terms: 9t + -9t = 0 -8ht + 0 = 1 + -9t -8ht = 1 + -9t Divide each side by '-8t'. h = -0.125t-1 + 1.125 Simplifying h = -0.125t-1 + 1.125 Reorder the terms: h = 1.125 + -0.125t-1
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