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Simplifying 2j + 3 = 4j + -19 Reorder the terms: 3 + 2j = 4j + -19 Reorder the terms: 3 + 2j = -19 + 4j Solving 3 + 2j = -19 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 3 + 2j + -4j = -19 + 4j + -4j Combine like terms: 2j + -4j = -2j 3 + -2j = -19 + 4j + -4j Combine like terms: 4j + -4j = 0 3 + -2j = -19 + 0 3 + -2j = -19 Add '-3' to each side of the equation. 3 + -3 + -2j = -19 + -3 Combine like terms: 3 + -3 = 0 0 + -2j = -19 + -3 -2j = -19 + -3 Combine like terms: -19 + -3 = -22 -2j = -22 Divide each side by '-2'. j = 11 Simplifying j = 11
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