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Simplifying 4j + 54 = 18j + -100 Reorder the terms: 54 + 4j = 18j + -100 Reorder the terms: 54 + 4j = -100 + 18j Solving 54 + 4j = -100 + 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. 54 + 4j + -18j = -100 + 18j + -18j Combine like terms: 4j + -18j = -14j 54 + -14j = -100 + 18j + -18j Combine like terms: 18j + -18j = 0 54 + -14j = -100 + 0 54 + -14j = -100 Add '-54' to each side of the equation. 54 + -54 + -14j = -100 + -54 Combine like terms: 54 + -54 = 0 0 + -14j = -100 + -54 -14j = -100 + -54 Combine like terms: -100 + -54 = -154 -14j = -154 Divide each side by '-14'. j = 11 Simplifying j = 11
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