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Simplifying 6h + 3k + -7(6h + -4k) = 0 6h + 3k + (6h * -7 + -4k * -7) = 0 6h + 3k + (-42h + 28k) = 0 Reorder the terms: 6h + -42h + 3k + 28k = 0 Combine like terms: 6h + -42h = -36h -36h + 3k + 28k = 0 Combine like terms: 3k + 28k = 31k -36h + 31k = 0 Solving -36h + 31k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-31k' to each side of the equation. -36h + 31k + -31k = 0 + -31k Combine like terms: 31k + -31k = 0 -36h + 0 = 0 + -31k -36h = 0 + -31k Remove the zero: -36h = -31k Divide each side by '-36'. h = 0.8611111111k Simplifying h = 0.8611111111k
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