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Simplifying 4(t + -5) + 4th = 4(2t + 3) + -9 Reorder the terms: 4(-5 + t) + 4th = 4(2t + 3) + -9 (-5 * 4 + t * 4) + 4th = 4(2t + 3) + -9 (-20 + 4t) + 4th = 4(2t + 3) + -9 Reorder the terms: -20 + 4ht + 4t = 4(2t + 3) + -9 Reorder the terms: -20 + 4ht + 4t = 4(3 + 2t) + -9 -20 + 4ht + 4t = (3 * 4 + 2t * 4) + -9 -20 + 4ht + 4t = (12 + 8t) + -9 Reorder the terms: -20 + 4ht + 4t = 12 + -9 + 8t Combine like terms: 12 + -9 = 3 -20 + 4ht + 4t = 3 + 8t Solving -20 + 4ht + 4t = 3 + 8t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 4ht + 20 + 4t = 3 + 20 + 8t Reorder the terms: -20 + 20 + 4ht + 4t = 3 + 20 + 8t Combine like terms: -20 + 20 = 0 0 + 4ht + 4t = 3 + 20 + 8t 4ht + 4t = 3 + 20 + 8t Combine like terms: 3 + 20 = 23 4ht + 4t = 23 + 8t Add '-4t' to each side of the equation. 4ht + 4t + -4t = 23 + 8t + -4t Combine like terms: 4t + -4t = 0 4ht + 0 = 23 + 8t + -4t 4ht = 23 + 8t + -4t Combine like terms: 8t + -4t = 4t 4ht = 23 + 4t Divide each side by '4t'. h = 5.75t-1 + 1 Simplifying h = 5.75t-1 + 1 Reorder the terms: h = 1 + 5.75t-1
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