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Simplifying 3h + 4j + -9(3h + -5j + 7k) = 0 3h + 4j + (3h * -9 + -5j * -9 + 7k * -9) = 0 3h + 4j + (-27h + 45j + -63k) = 0 Reorder the terms: 3h + -27h + 4j + 45j + -63k = 0 Combine like terms: 3h + -27h = -24h -24h + 4j + 45j + -63k = 0 Combine like terms: 4j + 45j = 49j -24h + 49j + -63k = 0 Solving -24h + 49j + -63k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-49j' to each side of the equation. -24h + 49j + -49j + -63k = 0 + -49j Combine like terms: 49j + -49j = 0 -24h + 0 + -63k = 0 + -49j -24h + -63k = 0 + -49j Remove the zero: -24h + -63k = -49j Add '63k' to each side of the equation. -24h + -63k + 63k = -49j + 63k Combine like terms: -63k + 63k = 0 -24h + 0 = -49j + 63k -24h = -49j + 63k Divide each side by '-24'. h = 2.041666667j + -2.625k Simplifying h = 2.041666667j + -2.625k
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