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Simplifying 8(2f + -3) = 4(4j + -8) Reorder the terms: 8(-3 + 2f) = 4(4j + -8) (-3 * 8 + 2f * 8) = 4(4j + -8) (-24 + 16f) = 4(4j + -8) Reorder the terms: -24 + 16f = 4(-8 + 4j) -24 + 16f = (-8 * 4 + 4j * 4) -24 + 16f = (-32 + 16j) Solving -24 + 16f = -32 + 16j Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 16f = -32 + 24 + 16j Combine like terms: -24 + 24 = 0 0 + 16f = -32 + 24 + 16j 16f = -32 + 24 + 16j Combine like terms: -32 + 24 = -8 16f = -8 + 16j Divide each side by '16'. f = -0.5 + j Simplifying f = -0.5 + j
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