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Simplifying 5h + 4k + -8(3h + -8k) = 0 5h + 4k + (3h * -8 + -8k * -8) = 0 5h + 4k + (-24h + 64k) = 0 Reorder the terms: 5h + -24h + 4k + 64k = 0 Combine like terms: 5h + -24h = -19h -19h + 4k + 64k = 0 Combine like terms: 4k + 64k = 68k -19h + 68k = 0 Solving -19h + 68k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-68k' to each side of the equation. -19h + 68k + -68k = 0 + -68k Combine like terms: 68k + -68k = 0 -19h + 0 = 0 + -68k -19h = 0 + -68k Remove the zero: -19h = -68k Divide each side by '-19'. h = 3.578947368k Simplifying h = 3.578947368k
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