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Simplifying 6(p + 2j) + -4(3p + -1j) = 0 Reorder the terms: 6(2j + p) + -4(3p + -1j) = 0 (2j * 6 + p * 6) + -4(3p + -1j) = 0 (12j + 6p) + -4(3p + -1j) = 0 Reorder the terms: 12j + 6p + -4(-1j + 3p) = 0 12j + 6p + (-1j * -4 + 3p * -4) = 0 12j + 6p + (4j + -12p) = 0 Reorder the terms: 12j + 4j + 6p + -12p = 0 Combine like terms: 12j + 4j = 16j 16j + 6p + -12p = 0 Combine like terms: 6p + -12p = -6p 16j + -6p = 0 Solving 16j + -6p = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '6p' to each side of the equation. 16j + -6p + 6p = 0 + 6p Combine like terms: -6p + 6p = 0 16j + 0 = 0 + 6p 16j = 0 + 6p Remove the zero: 16j = 6p Divide each side by '16'. j = 0.375p Simplifying j = 0.375p
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