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Simplifying 5(j + 4) + j = -8 Reorder the terms: 5(4 + j) + j = -8 (4 * 5 + j * 5) + j = -8 (20 + 5j) + j = -8 Combine like terms: 5j + j = 6j 20 + 6j = -8 Solving 20 + 6j = -8 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6j = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 6j = -8 + -20 6j = -8 + -20 Combine like terms: -8 + -20 = -28 6j = -28 Divide each side by '6'. j = -4.666666667 Simplifying j = -4.666666667
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