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Simplifying 2j + 51 = 13j + 29 Reorder the terms: 51 + 2j = 13j + 29 Reorder the terms: 51 + 2j = 29 + 13j Solving 51 + 2j = 29 + 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. 51 + 2j + -13j = 29 + 13j + -13j Combine like terms: 2j + -13j = -11j 51 + -11j = 29 + 13j + -13j Combine like terms: 13j + -13j = 0 51 + -11j = 29 + 0 51 + -11j = 29 Add '-51' to each side of the equation. 51 + -51 + -11j = 29 + -51 Combine like terms: 51 + -51 = 0 0 + -11j = 29 + -51 -11j = 29 + -51 Combine like terms: 29 + -51 = -22 -11j = -22 Divide each side by '-11'. j = 2 Simplifying j = 2
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