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Simplifying 2i + -3j + 4h + 2h + j + -3j = 0 Reorder the terms: 4h + 2h + 2i + -3j + j + -3j = 0 Combine like terms: 4h + 2h = 6h 6h + 2i + -3j + j + -3j = 0 Combine like terms: -3j + j = -2j 6h + 2i + -2j + -3j = 0 Combine like terms: -2j + -3j = -5j 6h + 2i + -5j = 0 Solving 6h + 2i + -5j = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2i' to each side of the equation. 6h + 2i + -2i + -5j = 0 + -2i Combine like terms: 2i + -2i = 0 6h + 0 + -5j = 0 + -2i 6h + -5j = 0 + -2i Remove the zero: 6h + -5j = -2i Add '5j' to each side of the equation. 6h + -5j + 5j = -2i + 5j Combine like terms: -5j + 5j = 0 6h + 0 = -2i + 5j 6h = -2i + 5j Divide each side by '6'. h = -0.3333333333i + 0.8333333333j Simplifying h = -0.3333333333i + 0.8333333333j
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