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Simplifying 3(5j + 2) = 5(-2b + 6) Reorder the terms: 3(2 + 5j) = 5(-2b + 6) (2 * 3 + 5j * 3) = 5(-2b + 6) (6 + 15j) = 5(-2b + 6) Reorder the terms: 6 + 15j = 5(6 + -2b) 6 + 15j = (6 * 5 + -2b * 5) 6 + 15j = (30 + -10b) Solving 6 + 15j = 30 + -10b Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15j = 30 + -6 + -10b Combine like terms: 6 + -6 = 0 0 + 15j = 30 + -6 + -10b 15j = 30 + -6 + -10b Combine like terms: 30 + -6 = 24 15j = 24 + -10b Divide each side by '15'. j = 1.6 + -0.6666666667b Simplifying j = 1.6 + -0.6666666667b
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