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Simplifying 13j + 59 = 32j + 2 Reorder the terms: 59 + 13j = 32j + 2 Reorder the terms: 59 + 13j = 2 + 32j Solving 59 + 13j = 2 + 32j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-32j' to each side of the equation. 59 + 13j + -32j = 2 + 32j + -32j Combine like terms: 13j + -32j = -19j 59 + -19j = 2 + 32j + -32j Combine like terms: 32j + -32j = 0 59 + -19j = 2 + 0 59 + -19j = 2 Add '-59' to each side of the equation. 59 + -59 + -19j = 2 + -59 Combine like terms: 59 + -59 = 0 0 + -19j = 2 + -59 -19j = 2 + -59 Combine like terms: 2 + -59 = -57 -19j = -57 Divide each side by '-19'. j = 3 Simplifying j = 3
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