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Simplifying 3(4j + 12) = 4(4j + -12) Reorder the terms: 3(12 + 4j) = 4(4j + -12) (12 * 3 + 4j * 3) = 4(4j + -12) (36 + 12j) = 4(4j + -12) Reorder the terms: 36 + 12j = 4(-12 + 4j) 36 + 12j = (-12 * 4 + 4j * 4) 36 + 12j = (-48 + 16j) Solving 36 + 12j = -48 + 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. 36 + 12j + -16j = -48 + 16j + -16j Combine like terms: 12j + -16j = -4j 36 + -4j = -48 + 16j + -16j Combine like terms: 16j + -16j = 0 36 + -4j = -48 + 0 36 + -4j = -48 Add '-36' to each side of the equation. 36 + -36 + -4j = -48 + -36 Combine like terms: 36 + -36 = 0 0 + -4j = -48 + -36 -4j = -48 + -36 Combine like terms: -48 + -36 = -84 -4j = -84 Divide each side by '-4'. j = 21 Simplifying j = 21
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