Questions: Simplify the expression. 2 r - 6 r + 7 + r

Solution Steps

To simplify the expression \(2r - 6r + 7 + r\), we need to combine like terms. The terms involving \(r\) are \(2r\), \(-6r\), and \(r\). The constant term is \(7\). We will sum the coefficients of \(r\) and then add the constant term.

We start with the expression: \[ 2r - 6r + 7 + r \] We identify the like terms involving \(r\): \(2r\), \(-6r\), and \(r\).

We sum the coefficients of \(r\): \[ 2 - 6 + 1 = -3 \]

Now, we can express the simplified form of the original expression: \[ -3r + 7 \]

Final Answer