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Simplifying -2j + 2(3j + -12) = 12j Reorder the terms: -2j + 2(-12 + 3j) = 12j -2j + (-12 * 2 + 3j * 2) = 12j -2j + (-24 + 6j) = 12j Reorder the terms: -24 + -2j + 6j = 12j Combine like terms: -2j + 6j = 4j -24 + 4j = 12j Solving -24 + 4j = 12j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-12j' to each side of the equation. -24 + 4j + -12j = 12j + -12j Combine like terms: 4j + -12j = -8j -24 + -8j = 12j + -12j Combine like terms: 12j + -12j = 0 -24 + -8j = 0 Add '24' to each side of the equation. -24 + 24 + -8j = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8j = 0 + 24 -8j = 0 + 24 Combine like terms: 0 + 24 = 24 -8j = 24 Divide each side by '-8'. j = -3 Simplifying j = -3
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