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Simplifying -3 * 5j + 2 = 2(3j + -6) Multiply -3 * 5 -15j + 2 = 2(3j + -6) Reorder the terms: 2 + -15j = 2(3j + -6) Reorder the terms: 2 + -15j = 2(-6 + 3j) 2 + -15j = (-6 * 2 + 3j * 2) 2 + -15j = (-12 + 6j) Solving 2 + -15j = -12 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 2 + -15j + -6j = -12 + 6j + -6j Combine like terms: -15j + -6j = -21j 2 + -21j = -12 + 6j + -6j Combine like terms: 6j + -6j = 0 2 + -21j = -12 + 0 2 + -21j = -12 Add '-2' to each side of the equation. 2 + -2 + -21j = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -21j = -12 + -2 -21j = -12 + -2 Combine like terms: -12 + -2 = -14 -21j = -14 Divide each side by '-21'. j = 0.6666666667 Simplifying j = 0.6666666667
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