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Simplifying 7h + 8j + -6(7h + -2j + 9k) = 0 7h + 8j + (7h * -6 + -2j * -6 + 9k * -6) = 0 7h + 8j + (-42h + 12j + -54k) = 0 Reorder the terms: 7h + -42h + 8j + 12j + -54k = 0 Combine like terms: 7h + -42h = -35h -35h + 8j + 12j + -54k = 0 Combine like terms: 8j + 12j = 20j -35h + 20j + -54k = 0 Solving -35h + 20j + -54k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20j' to each side of the equation. -35h + 20j + -20j + -54k = 0 + -20j Combine like terms: 20j + -20j = 0 -35h + 0 + -54k = 0 + -20j -35h + -54k = 0 + -20j Remove the zero: -35h + -54k = -20j Add '54k' to each side of the equation. -35h + -54k + 54k = -20j + 54k Combine like terms: -54k + 54k = 0 -35h + 0 = -20j + 54k -35h = -20j + 54k Divide each side by '-35'. h = 0.5714285714j + -1.542857143k Simplifying h = 0.5714285714j + -1.542857143k
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