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Simplifying 8h + 4k + -7(6h + -5k) = 0 8h + 4k + (6h * -7 + -5k * -7) = 0 8h + 4k + (-42h + 35k) = 0 Reorder the terms: 8h + -42h + 4k + 35k = 0 Combine like terms: 8h + -42h = -34h -34h + 4k + 35k = 0 Combine like terms: 4k + 35k = 39k -34h + 39k = 0 Solving -34h + 39k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-39k' to each side of the equation. -34h + 39k + -39k = 0 + -39k Combine like terms: 39k + -39k = 0 -34h + 0 = 0 + -39k -34h = 0 + -39k Remove the zero: -34h = -39k Divide each side by '-34'. h = 1.147058824k Simplifying h = 1.147058824k
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