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Simplifying 6 + 2(3j + -12) = 4(1 + j) Reorder the terms: 6 + 2(-12 + 3j) = 4(1 + j) 6 + (-12 * 2 + 3j * 2) = 4(1 + j) 6 + (-24 + 6j) = 4(1 + j) Combine like terms: 6 + -24 = -18 -18 + 6j = 4(1 + j) -18 + 6j = (1 * 4 + j * 4) -18 + 6j = (4 + 4j) Solving -18 + 6j = 4 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -18 + 6j + -4j = 4 + 4j + -4j Combine like terms: 6j + -4j = 2j -18 + 2j = 4 + 4j + -4j Combine like terms: 4j + -4j = 0 -18 + 2j = 4 + 0 -18 + 2j = 4 Add '18' to each side of the equation. -18 + 18 + 2j = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 2j = 4 + 18 2j = 4 + 18 Combine like terms: 4 + 18 = 22 2j = 22 Divide each side by '2'. j = 11 Simplifying j = 11
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