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Simplifying 6(j + 4) = 42 Reorder the terms: 6(4 + j) = 42 (4 * 6 + j * 6) = 42 (24 + 6j) = 42 Solving 24 + 6j = 42 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6j = 42 + -24 Combine like terms: 24 + -24 = 0 0 + 6j = 42 + -24 6j = 42 + -24 Combine like terms: 42 + -24 = 18 6j = 18 Divide each side by '6'. j = 3 Simplifying j = 3
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