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solve for (u). (2(2u + 7)=42) simplify your answer as much as possible.

Question

solve for (u).

(2(2u + 7)=42)

simplify your answer as much as possible.

Explanation:

Step1: Distribute the 2

$2\times(2u + 7)=2\times2u+2\times7 = 4u + 14$. So the equation becomes $4u+14 = 42$.

Step2: Subtract 14 from both sides

$4u+14 - 14=42 - 14$. This simplifies to $4u=28$.

Step3: Divide both sides by 4

$\frac{4u}{4}=\frac{28}{4}$. So $u = 7$.

Answer:

$u = 7$