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Simplifying 3(7h + -9) + 4h = 9(2h + 4) + -3 Reorder the terms: 3(-9 + 7h) + 4h = 9(2h + 4) + -3 (-9 * 3 + 7h * 3) + 4h = 9(2h + 4) + -3 (-27 + 21h) + 4h = 9(2h + 4) + -3 Combine like terms: 21h + 4h = 25h -27 + 25h = 9(2h + 4) + -3 Reorder the terms: -27 + 25h = 9(4 + 2h) + -3 -27 + 25h = (4 * 9 + 2h * 9) + -3 -27 + 25h = (36 + 18h) + -3 Reorder the terms: -27 + 25h = 36 + -3 + 18h Combine like terms: 36 + -3 = 33 -27 + 25h = 33 + 18h Solving -27 + 25h = 33 + 18h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18h' to each side of the equation. -27 + 25h + -18h = 33 + 18h + -18h Combine like terms: 25h + -18h = 7h -27 + 7h = 33 + 18h + -18h Combine like terms: 18h + -18h = 0 -27 + 7h = 33 + 0 -27 + 7h = 33 Add '27' to each side of the equation. -27 + 27 + 7h = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 7h = 33 + 27 7h = 33 + 27 Combine like terms: 33 + 27 = 60 7h = 60 Divide each side by '7'. h = 8.571428571 Simplifying h = 8.571428571
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