The simplification by combining like terms of b -2(1 + c - b) is 3b -2c - 2.
According to the given question.
We have an expression b -2(1 + c - b).
As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same. when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.
Since, we have to combine the like terms of the given expression b -2(1 + c - b).
Here b and 2b both are the like terms.
So, we add and subtract coeffcients of b to simplify the given expression.
Therefore, the simplification of the expression b -2( 1 + c - b) is given by
b - 2( 1+ c - b)
= b - 2 -2c + 2b
= 3b -2c - 2
Hence, the simplification by combining like terms of b -2(1 + c -b) is 3b -2c - 2.
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