Subjects algebra

Solve For J

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1. **State the problem:** Solve for $j$ in the equation $$-4j - 6(8 - 3j) = 8.$$\n\n2. **Distribute the $-6$ across the parentheses:**\n$$-4j - 6 \times 8 + 6 \times 3j = 8$$\n$$-4j - 48 + 18j = 8$$\n\n3. **Combine like terms on the left side:**\n$$(-4j + 18j) - 48 = 8$$\n$$14j - 48 = 8$$\n\n4. **Add 48 to both sides to isolate the term with $j$:**\n$$14j = 8 + 48$$\n$$14j = 56$$\n\n5. **Divide both sides by 14 to solve for $j$:**\n$$j = \frac{56}{14}$$\n$$j = 4$$\n\n**Final answer:**\n$$j = 4$$