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Simplifying 9h + 6j + -4(9h + -4j + 7k) = 0 9h + 6j + (9h * -4 + -4j * -4 + 7k * -4) = 0 9h + 6j + (-36h + 16j + -28k) = 0 Reorder the terms: 9h + -36h + 6j + 16j + -28k = 0 Combine like terms: 9h + -36h = -27h -27h + 6j + 16j + -28k = 0 Combine like terms: 6j + 16j = 22j -27h + 22j + -28k = 0 Solving -27h + 22j + -28k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-22j' to each side of the equation. -27h + 22j + -22j + -28k = 0 + -22j Combine like terms: 22j + -22j = 0 -27h + 0 + -28k = 0 + -22j -27h + -28k = 0 + -22j Remove the zero: -27h + -28k = -22j Add '28k' to each side of the equation. -27h + -28k + 28k = -22j + 28k Combine like terms: -28k + 28k = 0 -27h + 0 = -22j + 28k -27h = -22j + 28k Divide each side by '-27'. h = 0.8148148148j + -1.037037037k Simplifying h = 0.8148148148j + -1.037037037k
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