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Simplifying 4(6j + -15) = 6(38 + -2) Reorder the terms: 4(-15 + 6j) = 6(38 + -2) (-15 * 4 + 6j * 4) = 6(38 + -2) (-60 + 24j) = 6(38 + -2) Combine like terms: 38 + -2 = 36 -60 + 24j = 6(36) Multiply 6 * 36 -60 + 24j = 216 Solving -60 + 24j = 216 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 24j = 216 + 60 Combine like terms: -60 + 60 = 0 0 + 24j = 216 + 60 24j = 216 + 60 Combine like terms: 216 + 60 = 276 24j = 276 Divide each side by '24'. j = 11.5 Simplifying j = 11.5
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