-4c-11=4c+21
move similar terms to one side.
-4c=4c+32
then subtract 4c to both sides.
-8c=32
then divide both sides by -8.
c=-4
-4c-11=4c+21
move constants to one side and variables to the other.
add -21 to both sides and add +4c to both sides.
-4c+4c-11-21 = 4c+4c+21-21
-11-21 = 8c
combine terms
-32 = 8c
divide both sides by 8
-32/8 = 8c/8
-4 = c
Check my work. I always check the answer, too, by substituting into the original. In this case we have
(-4*-4) - 11 = (4*-4)+21
+16-11 = -16+21
+5 = +5
GOOD. It checks.
To solve the equation -4c - 11 = 4c + 21, we want to isolate the variable "c" on one side of the equation.
Step 1: Combine like terms.
Start by adding 4c to both sides of the equation:
-4c - 11 + 4c = 4c + 21 + 4c
Simplifying, we get:
-11 = 8c + 21
Step 2: Move the constant term to the other side.
Next, subtract 21 from both sides of the equation to move the constant term to the right side:
-11 - 21 = 8c + 21 - 21
Simplifying, we get:
-32 = 8c
Step 3: Solve for c.
To isolate c, divide both sides of the equation by 8:
-32/8 = 8c/8
Simplifying, we get:
-4 = c
So, the solution to the equation -4c - 11 = 4c + 21 is c = -4.