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Simplifying 7(4j + -10) = 14 + 14j Reorder the terms: 7(-10 + 4j) = 14 + 14j (-10 * 7 + 4j * 7) = 14 + 14j (-70 + 28j) = 14 + 14j Solving -70 + 28j = 14 + 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. -70 + 28j + -14j = 14 + 14j + -14j Combine like terms: 28j + -14j = 14j -70 + 14j = 14 + 14j + -14j Combine like terms: 14j + -14j = 0 -70 + 14j = 14 + 0 -70 + 14j = 14 Add '70' to each side of the equation. -70 + 70 + 14j = 14 + 70 Combine like terms: -70 + 70 = 0 0 + 14j = 14 + 70 14j = 14 + 70 Combine like terms: 14 + 70 = 84 14j = 84 Divide each side by '14'. j = 6 Simplifying j = 6
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