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Simplifying 19 + 15j + 1 = -19 + 6(4j + -19) Reorder the terms: 19 + 1 + 15j = -19 + 6(4j + -19) Combine like terms: 19 + 1 = 20 20 + 15j = -19 + 6(4j + -19) Reorder the terms: 20 + 15j = -19 + 6(-19 + 4j) 20 + 15j = -19 + (-19 * 6 + 4j * 6) 20 + 15j = -19 + (-114 + 24j) Combine like terms: -19 + -114 = -133 20 + 15j = -133 + 24j Solving 20 + 15j = -133 + 24j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24j' to each side of the equation. 20 + 15j + -24j = -133 + 24j + -24j Combine like terms: 15j + -24j = -9j 20 + -9j = -133 + 24j + -24j Combine like terms: 24j + -24j = 0 20 + -9j = -133 + 0 20 + -9j = -133 Add '-20' to each side of the equation. 20 + -20 + -9j = -133 + -20 Combine like terms: 20 + -20 = 0 0 + -9j = -133 + -20 -9j = -133 + -20 Combine like terms: -133 + -20 = -153 -9j = -153 Divide each side by '-9'. j = 17 Simplifying j = 17
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