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Simplifying 3j + 12 = 2(2j + 6) Reorder the terms: 12 + 3j = 2(2j + 6) Reorder the terms: 12 + 3j = 2(6 + 2j) 12 + 3j = (6 * 2 + 2j * 2) 12 + 3j = (12 + 4j) Add '-12' to each side of the equation. 12 + -12 + 3j = 12 + -12 + 4j Combine like terms: 12 + -12 = 0 0 + 3j = 12 + -12 + 4j 3j = 12 + -12 + 4j Combine like terms: 12 + -12 = 0 3j = 0 + 4j 3j = 4j Solving 3j = 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 3j + -4j = 4j + -4j Combine like terms: 3j + -4j = -1j -1j = 4j + -4j Combine like terms: 4j + -4j = 0 -1j = 0 Divide each side by '-1'. j = 0 Simplifying j = 0
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