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Simplifying 4j + 10 = 6j + 2 Reorder the terms: 10 + 4j = 6j + 2 Reorder the terms: 10 + 4j = 2 + 6j Solving 10 + 4j = 2 + 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. 10 + 4j + -6j = 2 + 6j + -6j Combine like terms: 4j + -6j = -2j 10 + -2j = 2 + 6j + -6j Combine like terms: 6j + -6j = 0 10 + -2j = 2 + 0 10 + -2j = 2 Add '-10' to each side of the equation. 10 + -10 + -2j = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2j = 2 + -10 -2j = 2 + -10 Combine like terms: 2 + -10 = -8 -2j = -8 Divide each side by '-2'. j = 4 Simplifying j = 4
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