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Simplifying (4j + 1) + -6(j + 2) = 0 Reorder the terms: (1 + 4j) + -6(j + 2) = 0 Remove parenthesis around (1 + 4j) 1 + 4j + -6(j + 2) = 0 Reorder the terms: 1 + 4j + -6(2 + j) = 0 1 + 4j + (2 * -6 + j * -6) = 0 1 + 4j + (-12 + -6j) = 0 Reorder the terms: 1 + -12 + 4j + -6j = 0 Combine like terms: 1 + -12 = -11 -11 + 4j + -6j = 0 Combine like terms: 4j + -6j = -2j -11 + -2j = 0 Solving -11 + -2j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2j = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2j = 0 + 11 -2j = 0 + 11 Combine like terms: 0 + 11 = 11 -2j = 11 Divide each side by '-2'. j = -5.5 Simplifying j = -5.5
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