To solve the equation [tex]\(-6c + 36 = -48\)[/tex], we need to isolate the variable [tex]\(c\)[/tex]. Here's a step-by-step process to find the solution:
Step 1: Subtract 36 from both sides of the equation to begin isolating [tex]\(c\)[/tex].
[tex]\[
-6c + 36 - 36 = -48 - 36
\][/tex]
This simplifies to:
[tex]\[
-6c = -84
\][/tex]
Step 2: Next, divide both sides of the equation by [tex]\(-6\)[/tex] to solve for [tex]\(c\)[/tex].
[tex]\[
c = \frac{-84}{-6}
\][/tex]
Step 3: Simplify the fraction.
[tex]\[
c = 14
\][/tex]
The solution to the equation [tex]\(-6c + 36 = -48\)[/tex] is [tex]\(c = 14\)[/tex].
