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Simplifying (-7)(2j + -27) = 49j Reorder the terms: -7(-27 + 2j) = 49j (-27 * -7 + 2j * -7) = 49j (189 + -14j) = 49j Solving 189 + -14j = 49j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-49j' to each side of the equation. 189 + -14j + -49j = 49j + -49j Combine like terms: -14j + -49j = -63j 189 + -63j = 49j + -49j Combine like terms: 49j + -49j = 0 189 + -63j = 0 Add '-189' to each side of the equation. 189 + -189 + -63j = 0 + -189 Combine like terms: 189 + -189 = 0 0 + -63j = 0 + -189 -63j = 0 + -189 Combine like terms: 0 + -189 = -189 -63j = -189 Divide each side by '-63'. j = 3 Simplifying j = 3
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