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Simplifying 4j + 12 = 6j + -7 Reorder the terms: 12 + 4j = 6j + -7 Reorder the terms: 12 + 4j = -7 + 6j Solving 12 + 4j = -7 + 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 + 4j + -6j = -7 + 6j + -6j Combine like terms: 4j + -6j = -2j 12 + -2j = -7 + 6j + -6j Combine like terms: 6j + -6j = 0 12 + -2j = -7 + 0 12 + -2j = -7 Add '-12' to each side of the equation. 12 + -12 + -2j = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -2j = -7 + -12 -2j = -7 + -12 Combine like terms: -7 + -12 = -19 -2j = -19 Divide each side by '-2'. j = 9.5 Simplifying j = 9.5
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