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Simplifying 7h + 2j + -8(7h + -5j + 9k) = 0 7h + 2j + (7h * -8 + -5j * -8 + 9k * -8) = 0 7h + 2j + (-56h + 40j + -72k) = 0 Reorder the terms: 7h + -56h + 2j + 40j + -72k = 0 Combine like terms: 7h + -56h = -49h -49h + 2j + 40j + -72k = 0 Combine like terms: 2j + 40j = 42j -49h + 42j + -72k = 0 Solving -49h + 42j + -72k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-42j' to each side of the equation. -49h + 42j + -42j + -72k = 0 + -42j Combine like terms: 42j + -42j = 0 -49h + 0 + -72k = 0 + -42j -49h + -72k = 0 + -42j Remove the zero: -49h + -72k = -42j Add '72k' to each side of the equation. -49h + -72k + 72k = -42j + 72k Combine like terms: -72k + 72k = 0 -49h + 0 = -42j + 72k -49h = -42j + 72k Divide each side by '-49'. h = 0.8571428571j + -1.469387755k Simplifying h = 0.8571428571j + -1.469387755k
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