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Simplifying -9(-8j + -5) + -3 = -5(-14j + -6) Reorder the terms: -9(-5 + -8j) + -3 = -5(-14j + -6) (-5 * -9 + -8j * -9) + -3 = -5(-14j + -6) (45 + 72j) + -3 = -5(-14j + -6) Reorder the terms: 45 + -3 + 72j = -5(-14j + -6) Combine like terms: 45 + -3 = 42 42 + 72j = -5(-14j + -6) Reorder the terms: 42 + 72j = -5(-6 + -14j) 42 + 72j = (-6 * -5 + -14j * -5) 42 + 72j = (30 + 70j) Solving 42 + 72j = 30 + 70j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-70j' to each side of the equation. 42 + 72j + -70j = 30 + 70j + -70j Combine like terms: 72j + -70j = 2j 42 + 2j = 30 + 70j + -70j Combine like terms: 70j + -70j = 0 42 + 2j = 30 + 0 42 + 2j = 30 Add '-42' to each side of the equation. 42 + -42 + 2j = 30 + -42 Combine like terms: 42 + -42 = 0 0 + 2j = 30 + -42 2j = 30 + -42 Combine like terms: 30 + -42 = -12 2j = -12 Divide each side by '2'. j = -6 Simplifying j = -6
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