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Simplifying 3j + 12 = 6j + -3 Reorder the terms: 12 + 3j = 6j + -3 Reorder the terms: 12 + 3j = -3 + 6j Solving 12 + 3j = -3 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 12 + 3j + -6j = -3 + 6j + -6j Combine like terms: 3j + -6j = -3j 12 + -3j = -3 + 6j + -6j Combine like terms: 6j + -6j = 0 12 + -3j = -3 + 0 12 + -3j = -3 Add '-12' to each side of the equation. 12 + -12 + -3j = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3j = -3 + -12 -3j = -3 + -12 Combine like terms: -3 + -12 = -15 -3j = -15 Divide each side by '-3'. j = 5 Simplifying j = 5
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