Question

Simplify this 4 ⁢ ( 1 − 2 ⁢ b ) + 7 ⁢ b − 10

Answer 1

To simplify the expression 4(1 - 2b) + 7b - 10, you distribute the 4, combine like terms to get -8b + 7b which is -b, and combine the constants 4 and -10 to get -6. The final simplified expression is -b - 6.

Step-by-step explanation:

To simplify the expression 4(1 - 2b) + 7b - 10, follow these steps:

• Distribute the 4 into the parentheses: 4 × 1 gives 4 and 4 × (-2b) gives -8b.
• The expression now is 4 - 8b + 7b - 10.
• Combine like terms: -8b and 7b combine to -1b (or just -b).
• The constants 4 and -10 combine to -6.
• The simplified expression is -b - 6.

Eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable.