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Simplifying 29j + -35 = 21j + 21 Reorder the terms: -35 + 29j = 21j + 21 Reorder the terms: -35 + 29j = 21 + 21j Solving -35 + 29j = 21 + 21j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-21j' to each side of the equation. -35 + 29j + -21j = 21 + 21j + -21j Combine like terms: 29j + -21j = 8j -35 + 8j = 21 + 21j + -21j Combine like terms: 21j + -21j = 0 -35 + 8j = 21 + 0 -35 + 8j = 21 Add '35' to each side of the equation. -35 + 35 + 8j = 21 + 35 Combine like terms: -35 + 35 = 0 0 + 8j = 21 + 35 8j = 21 + 35 Combine like terms: 21 + 35 = 56 8j = 56 Divide each side by '8'. j = 7 Simplifying j = 7
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