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Simplifying 18 + 2(2j + 17) = 8j Reorder the terms: 18 + 2(17 + 2j) = 8j 18 + (17 * 2 + 2j * 2) = 8j 18 + (34 + 4j) = 8j Combine like terms: 18 + 34 = 52 52 + 4j = 8j Solving 52 + 4j = 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 52 + 4j + -8j = 8j + -8j Combine like terms: 4j + -8j = -4j 52 + -4j = 8j + -8j Combine like terms: 8j + -8j = 0 52 + -4j = 0 Add '-52' to each side of the equation. 52 + -52 + -4j = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -4j = 0 + -52 -4j = 0 + -52 Combine like terms: 0 + -52 = -52 -4j = -52 Divide each side by '-4'. j = 13 Simplifying j = 13
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