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Simplifying 3(4h + -10) + 4(6h + -4) = 0 Reorder the terms: 3(-10 + 4h) + 4(6h + -4) = 0 (-10 * 3 + 4h * 3) + 4(6h + -4) = 0 (-30 + 12h) + 4(6h + -4) = 0 Reorder the terms: -30 + 12h + 4(-4 + 6h) = 0 -30 + 12h + (-4 * 4 + 6h * 4) = 0 -30 + 12h + (-16 + 24h) = 0 Reorder the terms: -30 + -16 + 12h + 24h = 0 Combine like terms: -30 + -16 = -46 -46 + 12h + 24h = 0 Combine like terms: 12h + 24h = 36h -46 + 36h = 0 Solving -46 + 36h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 36h = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 36h = 0 + 46 36h = 0 + 46 Combine like terms: 0 + 46 = 46 36h = 46 Divide each side by '36'. h = 1.277777778 Simplifying h = 1.277777778
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