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Simplifying 2(2j + 2) = 2(6j + -2) Reorder the terms: 2(2 + 2j) = 2(6j + -2) (2 * 2 + 2j * 2) = 2(6j + -2) (4 + 4j) = 2(6j + -2) Reorder the terms: 4 + 4j = 2(-2 + 6j) 4 + 4j = (-2 * 2 + 6j * 2) 4 + 4j = (-4 + 12j) Solving 4 + 4j = -4 + 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. 4 + 4j + -12j = -4 + 12j + -12j Combine like terms: 4j + -12j = -8j 4 + -8j = -4 + 12j + -12j Combine like terms: 12j + -12j = 0 4 + -8j = -4 + 0 4 + -8j = -4 Add '-4' to each side of the equation. 4 + -4 + -8j = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -8j = -4 + -4 -8j = -4 + -4 Combine like terms: -4 + -4 = -8 -8j = -8 Divide each side by '-8'. j = 1 Simplifying j = 1
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