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Simplifying 3[-2(j + -8)] = 4(4j + 2) Reorder the terms: 3[-2(-8 + j)] = 4(4j + 2) 3[(-8 * -2 + j * -2)] = 4(4j + 2) 3[(16 + -2j)] = 4(4j + 2) [16 * 3 + -2j * 3] = 4(4j + 2) [48 + -6j] = 4(4j + 2) Reorder the terms: 48 + -6j = 4(2 + 4j) 48 + -6j = (2 * 4 + 4j * 4) 48 + -6j = (8 + 16j) Solving 48 + -6j = 8 + 16j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-16j' to each side of the equation. 48 + -6j + -16j = 8 + 16j + -16j Combine like terms: -6j + -16j = -22j 48 + -22j = 8 + 16j + -16j Combine like terms: 16j + -16j = 0 48 + -22j = 8 + 0 48 + -22j = 8 Add '-48' to each side of the equation. 48 + -48 + -22j = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -22j = 8 + -48 -22j = 8 + -48 Combine like terms: 8 + -48 = -40 -22j = -40 Divide each side by '-22'. j = 1.818181818 Simplifying j = 1.818181818
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