Question

jesse writes an expression that is equivalent to $10 - 2d - 4 + 12d$. is jesse correct? no. he makes a mistake when he groups the like terms in step 2. help jesse fix his mistake. write the correct expression. $10 - 2d - 4 + 12d = \square +?d$

Explanation:

Step1: Identify like terms

The expression is \(10 - 2d - 4 + 12d\). The constant terms are \(10\) and \(-4\), and the variable terms are \(-2d\) and \(12d\).

Step2: Group like terms

Group the constant terms and the variable terms: \((10 - 4)+(-2d + 12d)\)

Step3: Simplify constant terms

Simplify \(10 - 4\) to get \(6\).

Step4: Simplify variable terms

Simplify \(-2d + 12d\) to get \(10d\) (since \(-2 + 12 = 10\)).

Answer:

\(10 - 2d - 4 + 12d = \boldsymbol{6} + \boldsymbol{10}d\)