Question - Solving an Algebraic Equation for Variable
Solution:
It appears that you would like to solve the algebraic equation:\[ \frac{2ac + 14}{2a} = 9 \]To solve for c, follow these steps:1. Multiply both sides of the equation by $$2a$$ to get rid of the denominator:\[ 2ac + 14 = 18a \]2. Subtract 14 from both sides to isolate terms with $$c$$ on one side:\[ 2ac = 18a - 14 \]3. Divide both sides by $$2a$$ to solve for $$c$$:\[ c = \frac{18a - 14}{2a} \]4. Simplify the right side if possible:\[ c = 9 - \frac{14}{2a} \]\[ c = 9 - \frac{7}{a} \]So, $$c = 9 - \frac{7}{a}$$, assuming $$a \neq 0$$.
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