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Simplifying 4h + 2 + -7(4h + -7j + 9k) = 0 4h + 2 + (4h * -7 + -7j * -7 + 9k * -7) = 0 4h + 2 + (-28h + 49j + -63k) = 0 Reorder the terms: 2 + 4h + -28h + 49j + -63k = 0 Combine like terms: 4h + -28h = -24h 2 + -24h + 49j + -63k = 0 Solving 2 + -24h + 49j + -63k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -24h + 49j + -2 + -63k = 0 + -2 Reorder the terms: 2 + -2 + -24h + 49j + -63k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -24h + 49j + -63k = 0 + -2 -24h + 49j + -63k = 0 + -2 Combine like terms: 0 + -2 = -2 -24h + 49j + -63k = -2 Add '-49j' to each side of the equation. -24h + 49j + -49j + -63k = -2 + -49j Combine like terms: 49j + -49j = 0 -24h + 0 + -63k = -2 + -49j -24h + -63k = -2 + -49j Add '63k' to each side of the equation. -24h + -63k + 63k = -2 + -49j + 63k Combine like terms: -63k + 63k = 0 -24h + 0 = -2 + -49j + 63k -24h = -2 + -49j + 63k Divide each side by '-24'. h = 0.08333333333 + 2.041666667j + -2.625k Simplifying h = 0.08333333333 + 2.041666667j + -2.625k
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