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Simplifying 4(2h + 1) + 3(4h + 7) = 0 Reorder the terms: 4(1 + 2h) + 3(4h + 7) = 0 (1 * 4 + 2h * 4) + 3(4h + 7) = 0 (4 + 8h) + 3(4h + 7) = 0 Reorder the terms: 4 + 8h + 3(7 + 4h) = 0 4 + 8h + (7 * 3 + 4h * 3) = 0 4 + 8h + (21 + 12h) = 0 Reorder the terms: 4 + 21 + 8h + 12h = 0 Combine like terms: 4 + 21 = 25 25 + 8h + 12h = 0 Combine like terms: 8h + 12h = 20h 25 + 20h = 0 Solving 25 + 20h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 20h = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 20h = 0 + -25 20h = 0 + -25 Combine like terms: 0 + -25 = -25 20h = -25 Divide each side by '20'. h = -1.25 Simplifying h = -1.25
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