Sure, let's solve the equation step-by-step.
### Given equation:
[tex]\[ 8c - 7(c - 3) + 4 = -10 \][/tex]
### Step 1: Distribute the 7 across the terms inside the parentheses
[tex]\[ -7(c - 3) = -7c + 21 \][/tex]
This gives us:
[tex]\[ 8c - 7c + 21 + 4 = -10 \][/tex]
### Step 2: Combine like terms
Combine the [tex]\( c \)[/tex] terms:
[tex]\[ 8c - 7c = c \][/tex]
Combine the constants:
[tex]\[ 21 + 4 = 25 \][/tex]
Now the equation looks like:
[tex]\[ c + 25 = -10 \][/tex]
### Step 3: Isolate the variable [tex]\( c \)[/tex]
Subtract 25 from both sides of the equation:
[tex]\[ c + 25 - 25 = -10 - 25 \][/tex]
[tex]\[ c = -35 \][/tex]
Thus, the solution to the equation is:
[tex]\[ c = -35 \][/tex]
