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Simplifying 9h + -1(h * h + -4h + 1) = 38 + -1h * h Multiply h * h 9h + -1(h2 + -4h + 1) = 38 + -1h * h Reorder the terms: 9h + -1(1 + -4h + h2) = 38 + -1h * h 9h + (1 * -1 + -4h * -1 + h2 * -1) = 38 + -1h * h 9h + (-1 + 4h + -1h2) = 38 + -1h * h Reorder the terms: -1 + 9h + 4h + -1h2 = 38 + -1h * h Combine like terms: 9h + 4h = 13h -1 + 13h + -1h2 = 38 + -1h * h Multiply h * h -1 + 13h + -1h2 = 38 + -1h2 Add 'h2' to each side of the equation. -1 + 13h + -1h2 + h2 = 38 + -1h2 + h2 Combine like terms: -1h2 + h2 = 0 -1 + 13h + 0 = 38 + -1h2 + h2 -1 + 13h = 38 + -1h2 + h2 Combine like terms: -1h2 + h2 = 0 -1 + 13h = 38 + 0 -1 + 13h = 38 Solving -1 + 13h = 38 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 13h = 38 + 1 Combine like terms: -1 + 1 = 0 0 + 13h = 38 + 1 13h = 38 + 1 Combine like terms: 38 + 1 = 39 13h = 39 Divide each side by '13'. h = 3 Simplifying h = 3
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