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Simplifying -4j + -14j + 11 = -20j + -7 Reorder the terms: 11 + -4j + -14j = -20j + -7 Combine like terms: -4j + -14j = -18j 11 + -18j = -20j + -7 Reorder the terms: 11 + -18j = -7 + -20j Solving 11 + -18j = -7 + -20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20j' to each side of the equation. 11 + -18j + 20j = -7 + -20j + 20j Combine like terms: -18j + 20j = 2j 11 + 2j = -7 + -20j + 20j Combine like terms: -20j + 20j = 0 11 + 2j = -7 + 0 11 + 2j = -7 Add '-11' to each side of the equation. 11 + -11 + 2j = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 2j = -7 + -11 2j = -7 + -11 Combine like terms: -7 + -11 = -18 2j = -18 Divide each side by '2'. j = -9 Simplifying j = -9
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