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Simplifying 11j + 12 = 13j + -6 Reorder the terms: 12 + 11j = 13j + -6 Reorder the terms: 12 + 11j = -6 + 13j Solving 12 + 11j = -6 + 13j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-13j' to each side of the equation. 12 + 11j + -13j = -6 + 13j + -13j Combine like terms: 11j + -13j = -2j 12 + -2j = -6 + 13j + -13j Combine like terms: 13j + -13j = 0 12 + -2j = -6 + 0 12 + -2j = -6 Add '-12' to each side of the equation. 12 + -12 + -2j = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2j = -6 + -12 -2j = -6 + -12 Combine like terms: -6 + -12 = -18 -2j = -18 Divide each side by '-2'. j = 9 Simplifying j = 9
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