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

Solve the equation. 3.4 = -13.6 + (-3.4c) + 1.7c
Transcript text: 10. Solve the equation. \[ 3.4=-13.6+(-3.4 c)+1.7 c \] 2
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Solution

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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 \(c\).

Step 1: Combine Like Terms

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: \[ 3.4 = -13.6 - 1.7c \]

Step 2: Isolate the Variable

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

Step 3: Solve for \(c\)

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

Final Answer

\[ \boxed{c = -10} \]

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