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Simplifying -2(10j + -30 + -7j) = 5(3j + -6) Reorder the terms: -2(-30 + 10j + -7j) = 5(3j + -6) Combine like terms: 10j + -7j = 3j -2(-30 + 3j) = 5(3j + -6) (-30 * -2 + 3j * -2) = 5(3j + -6) (60 + -6j) = 5(3j + -6) Reorder the terms: 60 + -6j = 5(-6 + 3j) 60 + -6j = (-6 * 5 + 3j * 5) 60 + -6j = (-30 + 15j) Solving 60 + -6j = -30 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. 60 + -6j + -15j = -30 + 15j + -15j Combine like terms: -6j + -15j = -21j 60 + -21j = -30 + 15j + -15j Combine like terms: 15j + -15j = 0 60 + -21j = -30 + 0 60 + -21j = -30 Add '-60' to each side of the equation. 60 + -60 + -21j = -30 + -60 Combine like terms: 60 + -60 = 0 0 + -21j = -30 + -60 -21j = -30 + -60 Combine like terms: -30 + -60 = -90 -21j = -90 Divide each side by '-21'. j = 4.285714286 Simplifying j = 4.285714286
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