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Simplifying 8h + 8k + -6(6h + -7k) = 0 8h + 8k + (6h * -6 + -7k * -6) = 0 8h + 8k + (-36h + 42k) = 0 Reorder the terms: 8h + -36h + 8k + 42k = 0 Combine like terms: 8h + -36h = -28h -28h + 8k + 42k = 0 Combine like terms: 8k + 42k = 50k -28h + 50k = 0 Solving -28h + 50k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-50k' to each side of the equation. -28h + 50k + -50k = 0 + -50k Combine like terms: 50k + -50k = 0 -28h + 0 = 0 + -50k -28h = 0 + -50k Remove the zero: -28h = -50k Divide each side by '-28'. h = 1.785714286k Simplifying h = 1.785714286k
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