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Simplifying 8(2f + -2) = 7(3j + 2) Reorder the terms: 8(-2 + 2f) = 7(3j + 2) (-2 * 8 + 2f * 8) = 7(3j + 2) (-16 + 16f) = 7(3j + 2) Reorder the terms: -16 + 16f = 7(2 + 3j) -16 + 16f = (2 * 7 + 3j * 7) -16 + 16f = (14 + 21j) Solving -16 + 16f = 14 + 21j Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16f = 14 + 16 + 21j Combine like terms: -16 + 16 = 0 0 + 16f = 14 + 16 + 21j 16f = 14 + 16 + 21j Combine like terms: 14 + 16 = 30 16f = 30 + 21j Divide each side by '16'. f = 1.875 + 1.3125j Simplifying f = 1.875 + 1.3125j
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