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Simplifying (7th + -2) + -1(-3t + 1) = -3(1 + -3t) Reorder the terms: (-2 + 7ht) + -1(-3t + 1) = -3(1 + -3t) Remove parenthesis around (-2 + 7ht) -2 + 7ht + -1(-3t + 1) = -3(1 + -3t) Reorder the terms: -2 + 7ht + -1(1 + -3t) = -3(1 + -3t) -2 + 7ht + (1 * -1 + -3t * -1) = -3(1 + -3t) -2 + 7ht + (-1 + 3t) = -3(1 + -3t) Reorder the terms: -2 + -1 + 7ht + 3t = -3(1 + -3t) Combine like terms: -2 + -1 = -3 -3 + 7ht + 3t = -3(1 + -3t) -3 + 7ht + 3t = (1 * -3 + -3t * -3) -3 + 7ht + 3t = (-3 + 9t) Add '3' to each side of the equation. -3 + 7ht + 3 + 3t = -3 + 3 + 9t Reorder the terms: -3 + 3 + 7ht + 3t = -3 + 3 + 9t Combine like terms: -3 + 3 = 0 0 + 7ht + 3t = -3 + 3 + 9t 7ht + 3t = -3 + 3 + 9t Combine like terms: -3 + 3 = 0 7ht + 3t = 0 + 9t 7ht + 3t = 9t Solving 7ht + 3t = 9t Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3t' to each side of the equation. 7ht + 3t + -3t = 9t + -3t Combine like terms: 3t + -3t = 0 7ht + 0 = 9t + -3t 7ht = 9t + -3t Combine like terms: 9t + -3t = 6t 7ht = 6t Divide each side by '7t'. h = 0.8571428571 Simplifying h = 0.8571428571
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