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Simplifying 3(5 + 2) = 2(3j + -6) Combine like terms: 5 + 2 = 7 3(7) = 2(3j + -6) Multiply 3 * 7 21 = 2(3j + -6) Reorder the terms: 21 = 2(-6 + 3j) 21 = (-6 * 2 + 3j * 2) 21 = (-12 + 6j) Solving 21 = -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. 21 + -6j = -12 + 6j + -6j Combine like terms: 6j + -6j = 0 21 + -6j = -12 + 0 21 + -6j = -12 Add '-21' to each side of the equation. 21 + -21 + -6j = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -6j = -12 + -21 -6j = -12 + -21 Combine like terms: -12 + -21 = -33 -6j = -33 Divide each side by '-6'. j = 5.5 Simplifying j = 5.5
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