Question

solve for r. -12 = 4(19 + r) - 20 r =

Explanation:

Step1: Simplify the right side

First, simplify the expression \(4(19 + r)-20\). Distribute the 4: \(4\times19+4\times r - 20=76 + 4r-20\). Then combine like terms: \(76-20 + 4r=56 + 4r\). So the equation becomes \(-12=56 + 4r\).

Step2: Isolate the term with r

Subtract 56 from both sides of the equation: \(-12-56=56 + 4r-56\). This simplifies to \(-68 = 4r\).

Step3: Solve for r

Divide both sides by 4: \(\frac{-68}{4}=\frac{4r}{4}\), which gives \(r=-17\).

Answer:

\(r = - 17\)