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Simplifying 4h + 4j + -5(4h + -7j + 4k) = 0 4h + 4j + (4h * -5 + -7j * -5 + 4k * -5) = 0 4h + 4j + (-20h + 35j + -20k) = 0 Reorder the terms: 4h + -20h + 4j + 35j + -20k = 0 Combine like terms: 4h + -20h = -16h -16h + 4j + 35j + -20k = 0 Combine like terms: 4j + 35j = 39j -16h + 39j + -20k = 0 Solving -16h + 39j + -20k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-39j' to each side of the equation. -16h + 39j + -39j + -20k = 0 + -39j Combine like terms: 39j + -39j = 0 -16h + 0 + -20k = 0 + -39j -16h + -20k = 0 + -39j Remove the zero: -16h + -20k = -39j Add '20k' to each side of the equation. -16h + -20k + 20k = -39j + 20k Combine like terms: -20k + 20k = 0 -16h + 0 = -39j + 20k -16h = -39j + 20k Divide each side by '-16'. h = 2.4375j + -1.25k Simplifying h = 2.4375j + -1.25k
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