4r+4r–16r–r–10r=19

Answer 1

To solve the equation \( 4r + 4r - 16r - r - 10r = 19 \), we start by combining like terms on the left side.

1. Combine the \( r \) terms: \[ 4r + 4r - 16r - r - 10r = (4r + 4r) + (-16r - r - 10r) = 8r - 27r = -19r \]

2. The equation now looks like this: \[ -19r = 19 \]

3. To isolate \( r \), divide both sides by \(-19\): \[ r = \frac{19}{-19} = -1 \]

So the solution is: \[ \boxed{-1} \]