Question

solve for h. -10 = h + 5(h + 10) h =

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), we expand \(5(h + 10)\) to get \(5h+50\). So the equation becomes \(-10=h + 5h+50\).

Step2: Combine like terms

Combine the \(h\) terms on the right side: \(h+5h = 6h\). Now the equation is \(-10=6h + 50\).

Step3: Subtract 50 from both sides

Subtract 50 from each side: \(-10-50=6h+50 - 50\), which simplifies to \(-60 = 6h\).

Step4: Divide by 6

Divide both sides by 6: \(\frac{-60}{6}=\frac{6h}{6}\), so \(h=-10\).

Answer:

\(-10\)