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Simplifying -20 + 2(11j + -6) = 18j + 16 Reorder the terms: -20 + 2(-6 + 11j) = 18j + 16 -20 + (-6 * 2 + 11j * 2) = 18j + 16 -20 + (-12 + 22j) = 18j + 16 Combine like terms: -20 + -12 = -32 -32 + 22j = 18j + 16 Reorder the terms: -32 + 22j = 16 + 18j Solving -32 + 22j = 16 + 18j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18j' to each side of the equation. -32 + 22j + -18j = 16 + 18j + -18j Combine like terms: 22j + -18j = 4j -32 + 4j = 16 + 18j + -18j Combine like terms: 18j + -18j = 0 -32 + 4j = 16 + 0 -32 + 4j = 16 Add '32' to each side of the equation. -32 + 32 + 4j = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 4j = 16 + 32 4j = 16 + 32 Combine like terms: 16 + 32 = 48 4j = 48 Divide each side by '4'. j = 12 Simplifying j = 12
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