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Simplifying 9h + 2j + -5(9h + -3j + 8k) = 0 9h + 2j + (9h * -5 + -3j * -5 + 8k * -5) = 0 9h + 2j + (-45h + 15j + -40k) = 0 Reorder the terms: 9h + -45h + 2j + 15j + -40k = 0 Combine like terms: 9h + -45h = -36h -36h + 2j + 15j + -40k = 0 Combine like terms: 2j + 15j = 17j -36h + 17j + -40k = 0 Solving -36h + 17j + -40k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-17j' to each side of the equation. -36h + 17j + -17j + -40k = 0 + -17j Combine like terms: 17j + -17j = 0 -36h + 0 + -40k = 0 + -17j -36h + -40k = 0 + -17j Remove the zero: -36h + -40k = -17j Add '40k' to each side of the equation. -36h + -40k + 40k = -17j + 40k Combine like terms: -40k + 40k = 0 -36h + 0 = -17j + 40k -36h = -17j + 40k Divide each side by '-36'. h = 0.4722222222j + -1.111111111k Simplifying h = 0.4722222222j + -1.111111111k
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