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Simplifying 2.25th + 5 = 13.5th + 14 Reorder the terms: 5 + 2.25ht = 13.5th + 14 Reorder the terms: 5 + 2.25ht = 14 + 13.5ht Solving 5 + 2.25ht = 14 + 13.5ht Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-13.5ht' to each side of the equation. 5 + 2.25ht + -13.5ht = 14 + 13.5ht + -13.5ht Combine like terms: 2.25ht + -13.5ht = -11.25ht 5 + -11.25ht = 14 + 13.5ht + -13.5ht Combine like terms: 13.5ht + -13.5ht = 0.0 5 + -11.25ht = 14 + 0.0 5 + -11.25ht = 14 Add '-5' to each side of the equation. 5 + -5 + -11.25ht = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -11.25ht = 14 + -5 -11.25ht = 14 + -5 Combine like terms: 14 + -5 = 9 -11.25ht = 9 Divide each side by '-11.25t'. h = -0.8t-1 Simplifying h = -0.8t-1
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