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Simplifying 5(-3j + 19) = -14j Reorder the terms: 5(19 + -3j) = -14j (19 * 5 + -3j * 5) = -14j (95 + -15j) = -14j Solving 95 + -15j = -14j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '14j' to each side of the equation. 95 + -15j + 14j = -14j + 14j Combine like terms: -15j + 14j = -1j 95 + -1j = -14j + 14j Combine like terms: -14j + 14j = 0 95 + -1j = 0 Add '-95' to each side of the equation. 95 + -95 + -1j = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1j = 0 + -95 -1j = 0 + -95 Combine like terms: 0 + -95 = -95 -1j = -95 Divide each side by '-1'. j = 95 Simplifying j = 95
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