Question

solve for c.
6c + 19c - 16c + 3c - 9c = 96
c = \boxed{}

Explanation:

Step1: Combine like terms

First, combine the terms with \( c \) on the left - hand side. We have \( 6c+19c - 16c+3c - 9c=(6 + 19-16 + 3-9)c\).
Calculate the coefficient: \(6+19 = 25\), \(25-16 = 9\), \(9 + 3=12\), \(12-9 = 3\). So the equation becomes \(3c=96\).

Step2: Solve for c

To solve for \( c \), divide both sides of the equation \(3c = 96\) by 3. That is \(c=\frac{96}{3}\).
Since \(96\div3 = 32\), we get \(c = 32\).

Answer:

\(32\)