Answered

Join the growing community of curious minds on IDNLearn.com and get the answers you need. Our platform offers reliable and detailed answers, ensuring you have the information you need.

Solve for [tex]\( c \)[/tex]:

[tex]\[ 8c - 7(c - 3) + 4 = -10 \][/tex]

[tex]\[ c = \square \][/tex]

Sagot :

GinnyAnsweridn
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]
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.