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Simplifying 4(j + 2) + 14 = 42 Reorder the terms: 4(2 + j) + 14 = 42 (2 * 4 + j * 4) + 14 = 42 (8 + 4j) + 14 = 42 Reorder the terms: 8 + 14 + 4j = 42 Combine like terms: 8 + 14 = 22 22 + 4j = 42 Solving 22 + 4j = 42 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4j = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 4j = 42 + -22 4j = 42 + -22 Combine like terms: 42 + -22 = 20 4j = 20 Divide each side by '4'. j = 5 Simplifying j = 5
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