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Simplifying 2(5j + 2) = 2(3j + -6) Reorder the terms: 2(2 + 5j) = 2(3j + -6) (2 * 2 + 5j * 2) = 2(3j + -6) (4 + 10j) = 2(3j + -6) Reorder the terms: 4 + 10j = 2(-6 + 3j) 4 + 10j = (-6 * 2 + 3j * 2) 4 + 10j = (-12 + 6j) Solving 4 + 10j = -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. 4 + 10j + -6j = -12 + 6j + -6j Combine like terms: 10j + -6j = 4j 4 + 4j = -12 + 6j + -6j Combine like terms: 6j + -6j = 0 4 + 4j = -12 + 0 4 + 4j = -12 Add '-4' to each side of the equation. 4 + -4 + 4j = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 4j = -12 + -4 4j = -12 + -4 Combine like terms: -12 + -4 = -16 4j = -16 Divide each side by '4'. j = -4 Simplifying j = -4
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