solve for b.\n11 = 2(-14 + b) + 7\nb =

Explanation:

Step1: Simplify the right - hand side

First, expand (2(-14 + b)) using the distributive property (a(b + c)=ab+ac). Here (a = 2), (b=-14), (c = b), so (2(-14 + b)=-28+2b). The equation becomes (11=-28 + 2b+7). Combine like terms on the right - hand side: (-28 + 7=-21), so the equation is (11=2b-21).

Step2: Isolate the term with (b)

Add (21) to both sides of the equation. Using the addition property of equality (a=b\Rightarrow a + c=b + c). (11+21=2b-21 + 21). (32 = 2b).

Step3: Solve for (b)

Divide both sides of the equation by (2) using the division property of equality (a=b\Rightarrow\frac{a}{c}=\frac{b}{c}(c\neq0)). (\frac{32}{2}=\frac{2b}{2}).

Answer:

(16)