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Simplifying 7(6h + 5x + -3k) = 0 Reorder the terms: 7(6h + -3k + 5x) = 0 (6h * 7 + -3k * 7 + 5x * 7) = 0 (42h + -21k + 35x) = 0 Solving 42h + -21k + 35x = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '21k' to each side of the equation. 42h + -21k + 21k + 35x = 0 + 21k Combine like terms: -21k + 21k = 0 42h + 0 + 35x = 0 + 21k 42h + 35x = 0 + 21k Remove the zero: 42h + 35x = 21k Add '-35x' to each side of the equation. 42h + 35x + -35x = 21k + -35x Combine like terms: 35x + -35x = 0 42h + 0 = 21k + -35x 42h = 21k + -35x Divide each side by '42'. h = 0.5k + -0.8333333333x Simplifying h = 0.5k + -0.8333333333x
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