Questions: Solve the equation. 3.4 = -13.6 + (-3.4c) + 1.7c

Solution Steps

To solve the equation \(3.4 = -13.6 + (-3.4c) + 1.7c\), we need to combine like terms and isolate the variable \(c\). First, combine the terms involving \(c\) on the right side of the equation. Then, move the constant terms to one side to solve for \(c\).

The given equation is: \[ 3.4 = -13.6 + (-3.4c) + 1.7c \] First, combine the terms involving \(c\) on the right side: \[ -3.4c + 1.7c = -1.7c \] Thus, the equation simplifies to: \[ 3.4 = -13.6 - 1.7c \]

To isolate \(c\), add \(13.6\) to both sides of the equation: \[ 3.4 + 13.6 = -1.7c \] \[ 17.0 = -1.7c \]

Divide both sides by \(-1.7\) to solve for \(c\): \[ c = \frac{17.0}{-1.7} \] \[ c = -10.0 \]

Final Answer