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Simplifying 4(6j + -15) = (38 + -2j) Reorder the terms: 4(-15 + 6j) = (38 + -2j) (-15 * 4 + 6j * 4) = (38 + -2j) (-60 + 24j) = (38 + -2j) Remove parenthesis around (38 + -2j) -60 + 24j = 38 + -2j Solving -60 + 24j = 38 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. -60 + 24j + 2j = 38 + -2j + 2j Combine like terms: 24j + 2j = 26j -60 + 26j = 38 + -2j + 2j Combine like terms: -2j + 2j = 0 -60 + 26j = 38 + 0 -60 + 26j = 38 Add '60' to each side of the equation. -60 + 60 + 26j = 38 + 60 Combine like terms: -60 + 60 = 0 0 + 26j = 38 + 60 26j = 38 + 60 Combine like terms: 38 + 60 = 98 26j = 98 Divide each side by '26'. j = 3.769230769 Simplifying j = 3.769230769
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