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Simplifying 5(j + -2) = 16 + -10 + -11j Reorder the terms: 5(-2 + j) = 16 + -10 + -11j (-2 * 5 + j * 5) = 16 + -10 + -11j (-10 + 5j) = 16 + -10 + -11j Combine like terms: 16 + -10 = 6 -10 + 5j = 6 + -11j Solving -10 + 5j = 6 + -11j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '11j' to each side of the equation. -10 + 5j + 11j = 6 + -11j + 11j Combine like terms: 5j + 11j = 16j -10 + 16j = 6 + -11j + 11j Combine like terms: -11j + 11j = 0 -10 + 16j = 6 + 0 -10 + 16j = 6 Add '10' to each side of the equation. -10 + 10 + 16j = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 16j = 6 + 10 16j = 6 + 10 Combine like terms: 6 + 10 = 16 16j = 16 Divide each side by '16'. j = 1 Simplifying j = 1
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