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Simplifying 8h + 9j + -7(8h + -5j + 8k) = 0 8h + 9j + (8h * -7 + -5j * -7 + 8k * -7) = 0 8h + 9j + (-56h + 35j + -56k) = 0 Reorder the terms: 8h + -56h + 9j + 35j + -56k = 0 Combine like terms: 8h + -56h = -48h -48h + 9j + 35j + -56k = 0 Combine like terms: 9j + 35j = 44j -48h + 44j + -56k = 0 Solving -48h + 44j + -56k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-44j' to each side of the equation. -48h + 44j + -44j + -56k = 0 + -44j Combine like terms: 44j + -44j = 0 -48h + 0 + -56k = 0 + -44j -48h + -56k = 0 + -44j Remove the zero: -48h + -56k = -44j Add '56k' to each side of the equation. -48h + -56k + 56k = -44j + 56k Combine like terms: -56k + 56k = 0 -48h + 0 = -44j + 56k -48h = -44j + 56k Divide each side by '-48'. h = 0.9166666667j + -1.166666667k Simplifying h = 0.9166666667j + -1.166666667k
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