Question

simplify the expression: -3c - 10c + -2c + -7c + -2c

Explanation:

Step1: Combine like terms

We have the expression \(-3c - 10c + (-2c) + (-7c) + (-2c)\). Since all terms are like terms (they all have the variable \(c\)), we can add their coefficients. The coefficients are \(-3\), \(-10\), \(-2\), \(-7\), and \(-2\).

Step2: Calculate the sum of coefficients

First, add \(-3\) and \(-10\): \(-3 + (-10)=-13\). Then add \(-13\) and \(-2\): \(-13+(-2) = -15\). Next, add \(-15\) and \(-7\): \(-15+(-7)=-22\). Finally, add \(-22\) and \(-2\): \(-22+(-2)=-24\).

Step3: Write the simplified expression

Since the sum of the coefficients is \(-24\), the simplified expression is \(-24c\).

Answer:

\(-24c\)