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Simplifying 4(6j + -15P) = 6(38 + -2j) Reorder the terms: 4(-15P + 6j) = 6(38 + -2j) (-15P * 4 + 6j * 4) = 6(38 + -2j) (-60P + 24j) = 6(38 + -2j) -60P + 24j = (38 * 6 + -2j * 6) -60P + 24j = (228 + -12j) Solving -60P + 24j = 228 + -12j Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-24j' to each side of the equation. -60P + 24j + -24j = 228 + -12j + -24j Combine like terms: 24j + -24j = 0 -60P + 0 = 228 + -12j + -24j -60P = 228 + -12j + -24j Combine like terms: -12j + -24j = -36j -60P = 228 + -36j Divide each side by '-60'. P = -3.8 + 0.6j Simplifying P = -3.8 + 0.6j
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