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Simplifying 2(7j + 5) = 5(3j + -5) Reorder the terms: 2(5 + 7j) = 5(3j + -5) (5 * 2 + 7j * 2) = 5(3j + -5) (10 + 14j) = 5(3j + -5) Reorder the terms: 10 + 14j = 5(-5 + 3j) 10 + 14j = (-5 * 5 + 3j * 5) 10 + 14j = (-25 + 15j) Solving 10 + 14j = -25 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. 10 + 14j + -15j = -25 + 15j + -15j Combine like terms: 14j + -15j = -1j 10 + -1j = -25 + 15j + -15j Combine like terms: 15j + -15j = 0 10 + -1j = -25 + 0 10 + -1j = -25 Add '-10' to each side of the equation. 10 + -10 + -1j = -25 + -10 Combine like terms: 10 + -10 = 0 0 + -1j = -25 + -10 -1j = -25 + -10 Combine like terms: -25 + -10 = -35 -1j = -35 Divide each side by '-1'. j = 35 Simplifying j = 35
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