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Simplifying (H + 1)(h + 2) = 3(h + 25) Reorder the terms: (1 + H)(h + 2) = 3(h + 25) Reorder the terms: (1 + H)(2 + h) = 3(h + 25) Multiply (1 + H) * (2 + h) (1(2 + h) + H(2 + h)) = 3(h + 25) ((2 * 1 + h * 1) + H(2 + h)) = 3(h + 25) ((2 + 1h) + H(2 + h)) = 3(h + 25) (2 + 1h + (2 * H + h * H)) = 3(h + 25) (2 + 1h + (2H + hH)) = 3(h + 25) Reorder the terms: (2 + 2H + 1h + hH) = 3(h + 25) (2 + 2H + 1h + hH) = 3(h + 25) Reorder the terms: 2 + 2H + 1h + hH = 3(25 + h) 2 + 2H + 1h + hH = (25 * 3 + h * 3) 2 + 2H + 1h + hH = (75 + 3h) Solving 2 + 2H + 1h + hH = 75 + 3h Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2H + 1h + -2 + hH = 75 + -2 + 3h Reorder the terms: 2 + -2 + 2H + 1h + hH = 75 + -2 + 3h Combine like terms: 2 + -2 = 0 0 + 2H + 1h + hH = 75 + -2 + 3h 2H + 1h + hH = 75 + -2 + 3h Combine like terms: 75 + -2 = 73 2H + 1h + hH = 73 + 3h Add '-1h' to each side of the equation. 2H + 1h + -1h + hH = 73 + 3h + -1h Combine like terms: 1h + -1h = 0 2H + 0 + hH = 73 + 3h + -1h 2H + hH = 73 + 3h + -1h Combine like terms: 3h + -1h = 2h 2H + hH = 73 + 2h Reorder the terms: -73 + 2H + -2h + hH = 73 + 2h + -73 + -2h Reorder the terms: -73 + 2H + -2h + hH = 73 + -73 + 2h + -2h Combine like terms: 73 + -73 = 0 -73 + 2H + -2h + hH = 0 + 2h + -2h -73 + 2H + -2h + hH = 2h + -2h Combine like terms: 2h + -2h = 0 -73 + 2H + -2h + hH = 0 The solution to this equation could not be determined.
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