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Simplifying 9(8th + -5) + 13 = 12th + -2 Reorder the terms: 9(-5 + 8ht) + 13 = 12th + -2 (-5 * 9 + 8ht * 9) + 13 = 12th + -2 (-45 + 72ht) + 13 = 12th + -2 Reorder the terms: -45 + 13 + 72ht = 12th + -2 Combine like terms: -45 + 13 = -32 -32 + 72ht = 12th + -2 Reorder the terms: -32 + 72ht = -2 + 12ht Solving -32 + 72ht = -2 + 12ht Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12ht' to each side of the equation. -32 + 72ht + -12ht = -2 + 12ht + -12ht Combine like terms: 72ht + -12ht = 60ht -32 + 60ht = -2 + 12ht + -12ht Combine like terms: 12ht + -12ht = 0 -32 + 60ht = -2 + 0 -32 + 60ht = -2 Add '32' to each side of the equation. -32 + 32 + 60ht = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 60ht = -2 + 32 60ht = -2 + 32 Combine like terms: -2 + 32 = 30 60ht = 30 Divide each side by '60t'. h = 0.5t-1 Simplifying h = 0.5t-1
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