solve for c.\n0.5 + 3(5c - 0.7) = 13c\nc =

Explanation:

Step1: Expand the equation

$$ \begin{align*} 0.5 + 3(5c - 0.7)&=13c\ 0.5+15c - 2.1&=13c \end{align*} $$

Step2: Simplify the left - hand side

$$ \begin{align*} 15c+(0.5 - 2.1)&=13c\ 15c - 1.6&=13c \end{align*} $$

Step3: Move the terms with (c) to one side

Subtract (13c) from both sides: $$ \begin{align*} 15c-13c - 1.6&=13c-13c\ 2c-1.6&=0 \end{align*} $$

Step4: Solve for (c)

Add (1.6) to both sides: (2c=1.6). Then divide both sides by (2): (c = \frac{1.6}{2})

Answer:

(c = 0.8)