Final answer:
To simplify the expression 6(-q+9q+2)-2q, distribute the 6 to all terms within the parentheses, combine like terms, and finally subtract 2q to get the simplest form, which is 46q.
Step-by-step explanation:
To simplify the expression 6(-q+9q+2)-2q, follow these steps:
- Distribute the 6 inside the parentheses: 6(-q) + 6(9q) + 6(2).
- This becomes -6q + 54q + 12.
- Combine like terms: (-6q + 54q) - 2q, which simplifies to 48q - 2q.
- Subtract 2q from 48q: 46q is the simplest form of the given expression.
When simplifying algebraic expressions, eliminate terms wherever possible and check the answer to ensure it is reasonable.
To simplify the expression 6(-q+9q+2)-2q, the distributive property is applied by multiplying 6 to each term inside the parentheses: 6(-q) + 6(9q) + 6(2), resulting in -6q + 54q + 12. Combining like terms, -6q + 54q) - 2q, simplifies to 48q - 2q. The final step involves subtracting 2q from 48q, yielding 46q as the simplest form of the given expression.
In the process of simplifying algebraic expressions, it is crucial to combine like terms and ensure the result is reasonable. This step-by-step approach ensures an accurate and simplified form of the expression, promoting clarity and precision in algebraic manipulations.