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Simplifying 6(5h + 7k) = 0 (5h * 6 + 7k * 6) = 0 (30h + 42k) = 0 Solving 30h + 42k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-42k' to each side of the equation. 30h + 42k + -42k = 0 + -42k Combine like terms: 42k + -42k = 0 30h + 0 = 0 + -42k 30h = 0 + -42k Remove the zero: 30h = -42k Divide each side by '30'. h = -1.4k Simplifying h = -1.4k
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