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Simplifying 6h + 6j + -5(6h + -7j + 5k) = 0 6h + 6j + (6h * -5 + -7j * -5 + 5k * -5) = 0 6h + 6j + (-30h + 35j + -25k) = 0 Reorder the terms: 6h + -30h + 6j + 35j + -25k = 0 Combine like terms: 6h + -30h = -24h -24h + 6j + 35j + -25k = 0 Combine like terms: 6j + 35j = 41j -24h + 41j + -25k = 0 Solving -24h + 41j + -25k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-41j' to each side of the equation. -24h + 41j + -41j + -25k = 0 + -41j Combine like terms: 41j + -41j = 0 -24h + 0 + -25k = 0 + -41j -24h + -25k = 0 + -41j Remove the zero: -24h + -25k = -41j Add '25k' to each side of the equation. -24h + -25k + 25k = -41j + 25k Combine like terms: -25k + 25k = 0 -24h + 0 = -41j + 25k -24h = -41j + 25k Divide each side by '-24'. h = 1.708333333j + -1.041666667k Simplifying h = 1.708333333j + -1.041666667k
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