Simplify the expression:

\[ 4b - 7 - 15b + 3 \]

Provide a full explanation of the simplification process.

4b = b+b+b+b
15b = b+b+b+b+b+b+b+b+b+b+b+b+b+b+b

So...
4b-15b
=(b+b+b+b)-(b+b+b+b+b+b+b+b+b+b+b+b+b+b+b)
=b+b+b+b-b-b-b-b-b-b-b-b-b-b-b-b-b-b-b
=-b-b-b-b-b-b-b-b-b-b-b=-11b

-7 = -1-1-1-1-1-1-1
3=1+1+1
-7+3=(-1-1-1-1-1-1-1)+(1+1+1)
=-1-1-1-1-1-1-1+1+1+1=-1-1-1-1=-4

Answered by Anonymous | 2024-06-10

Combine like terms so add 4b and 15b together and add 7 and 3 together and then the answer would be 19b-10

Answered by kelsy | 2024-06-10

The expression 4 b − 7 − 15 b + 3 simplifies to − 11 b − 4 by combining like terms. The terms with b are combined to get − 11 b , and the constant terms combine to give − 4 . Therefore, the final simplified expression is − 11 b − 4 .
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Answered by Anonymous | 2024-12-24