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Simplifying 3(3h + -8j) + -5(2h + -7j) = 0 (3h * 3 + -8j * 3) + -5(2h + -7j) = 0 (9h + -24j) + -5(2h + -7j) = 0 9h + -24j + (2h * -5 + -7j * -5) = 0 9h + -24j + (-10h + 35j) = 0 Reorder the terms: 9h + -10h + -24j + 35j = 0 Combine like terms: 9h + -10h = -1h -1h + -24j + 35j = 0 Combine like terms: -24j + 35j = 11j -1h + 11j = 0 Solving -1h + 11j = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-11j' to each side of the equation. -1h + 11j + -11j = 0 + -11j Combine like terms: 11j + -11j = 0 -1h + 0 = 0 + -11j -1h = 0 + -11j Remove the zero: -1h = -11j Divide each side by '-1'. h = 11j Simplifying h = 11j
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