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Simplifying 7h + 3j + -4(7h + -2j + 5k) = 0 7h + 3j + (7h * -4 + -2j * -4 + 5k * -4) = 0 7h + 3j + (-28h + 8j + -20k) = 0 Reorder the terms: 7h + -28h + 3j + 8j + -20k = 0 Combine like terms: 7h + -28h = -21h -21h + 3j + 8j + -20k = 0 Combine like terms: 3j + 8j = 11j -21h + 11j + -20k = 0 Solving -21h + 11j + -20k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-11j' to each side of the equation. -21h + 11j + -11j + -20k = 0 + -11j Combine like terms: 11j + -11j = 0 -21h + 0 + -20k = 0 + -11j -21h + -20k = 0 + -11j Remove the zero: -21h + -20k = -11j Add '20k' to each side of the equation. -21h + -20k + 20k = -11j + 20k Combine like terms: -20k + 20k = 0 -21h + 0 = -11j + 20k -21h = -11j + 20k Divide each side by '-21'. h = 0.5238095238j + -0.9523809524k Simplifying h = 0.5238095238j + -0.9523809524k
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