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Simplifying 2h + 2j + -8(2h + -8j + 4K) = 0 Reorder the terms: 2h + 2j + -8(4K + 2h + -8j) = 0 2h + 2j + (4K * -8 + 2h * -8 + -8j * -8) = 0 2h + 2j + (-32K + -16h + 64j) = 0 Reorder the terms: -32K + 2h + -16h + 2j + 64j = 0 Combine like terms: 2h + -16h = -14h -32K + -14h + 2j + 64j = 0 Combine like terms: 2j + 64j = 66j -32K + -14h + 66j = 0 Solving -32K + -14h + 66j = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '14h' to each side of the equation. -32K + -14h + 14h + 66j = 0 + 14h Combine like terms: -14h + 14h = 0 -32K + 0 + 66j = 0 + 14h -32K + 66j = 0 + 14h Remove the zero: -32K + 66j = 14h Add '-66j' to each side of the equation. -32K + 66j + -66j = 14h + -66j Combine like terms: 66j + -66j = 0 -32K + 0 = 14h + -66j -32K = 14h + -66j Divide each side by '-32'. K = -0.4375h + 2.0625j Simplifying K = -0.4375h + 2.0625j
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