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Simplifying 3z + 3j = 3(4j + -1) Reorder the terms: 3j + 3z = 3(4j + -1) Reorder the terms: 3j + 3z = 3(-1 + 4j) 3j + 3z = (-1 * 3 + 4j * 3) 3j + 3z = (-3 + 12j) Solving 3j + 3z = -3 + 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. 3j + -12j + 3z = -3 + 12j + -12j Combine like terms: 3j + -12j = -9j -9j + 3z = -3 + 12j + -12j Combine like terms: 12j + -12j = 0 -9j + 3z = -3 + 0 -9j + 3z = -3 Add '-3z' to each side of the equation. -9j + 3z + -3z = -3 + -3z Combine like terms: 3z + -3z = 0 -9j + 0 = -3 + -3z -9j = -3 + -3z Divide each side by '-9'. j = 0.3333333333 + 0.3333333333z Simplifying j = 0.3333333333 + 0.3333333333z
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