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Simplifying 42 = 18th + 4(t + 5) Reorder the terms: 42 = 18ht + 4(5 + t) 42 = 18ht + (5 * 4 + t * 4) 42 = 18ht + (20 + 4t) Reorder the terms: 42 = 20 + 18ht + 4t Solving 42 = 20 + 18ht + 4t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18ht' to each side of the equation. 42 + -18ht = 20 + 18ht + -18ht + 4t Combine like terms: 18ht + -18ht = 0 42 + -18ht = 20 + 0 + 4t 42 + -18ht = 20 + 4t Add '-42' to each side of the equation. 42 + -42 + -18ht = 20 + -42 + 4t Combine like terms: 42 + -42 = 0 0 + -18ht = 20 + -42 + 4t -18ht = 20 + -42 + 4t Combine like terms: 20 + -42 = -22 -18ht = -22 + 4t Divide each side by '-18t'. h = 1.222222222t-1 + -0.2222222222 Simplifying h = 1.222222222t-1 + -0.2222222222 Reorder the terms: h = -0.2222222222 + 1.222222222t-1
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