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Simplifying 4(6j + -15) = 6(38 + -2j) Reorder the terms: 4(-15 + 6j) = 6(38 + -2j) (-15 * 4 + 6j * 4) = 6(38 + -2j) (-60 + 24j) = 6(38 + -2j) -60 + 24j = (38 * 6 + -2j * 6) -60 + 24j = (228 + -12j) Solving -60 + 24j = 228 + -12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12j' to each side of the equation. -60 + 24j + 12j = 228 + -12j + 12j Combine like terms: 24j + 12j = 36j -60 + 36j = 228 + -12j + 12j Combine like terms: -12j + 12j = 0 -60 + 36j = 228 + 0 -60 + 36j = 228 Add '60' to each side of the equation. -60 + 60 + 36j = 228 + 60 Combine like terms: -60 + 60 = 0 0 + 36j = 228 + 60 36j = 228 + 60 Combine like terms: 228 + 60 = 288 36j = 288 Divide each side by '36'. j = 8 Simplifying j = 8
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