Question

15u + 12 = 2(u - 7)
15u + 12 = 2u - 14

• 2u - 2u

13u + 12 = -14
u = \square

Explanation:

Step1: Subtract 12 from both sides

We have the equation \(13u + 12=-14\). To isolate the term with \(u\), we subtract 12 from both sides. The equation becomes \(13u+12 - 12=-14 - 12\).

Step2: Simplify both sides

Simplifying the left - hand side: \(13u+12 - 12 = 13u\). Simplifying the right - hand side: \(-14-12=-26\). So now we have the equation \(13u=-26\).

Step3: Divide both sides by 13

To solve for \(u\), we divide both sides of the equation \(13u = - 26\) by 13. Using the formula \(\frac{13u}{13}=\frac{-26}{13}\), we get \(u=-2\).

Answer:

\(u = - 2\)