Let's first solve the linear equation for [tex]\( c \)[/tex]:
Given the equation:
[tex]\[ -27 = -(-c + 9) - 4c \][/tex]
Step 1: Distribute the negative sign inside the parenthesis on the right-hand side.
[tex]\[ -(-c + 9) \][/tex] becomes [tex]\( c - 9 \)[/tex].
So, the equation will be:
[tex]\[ -27 = c - 9 - 4c \][/tex]
Step 2: Combine like terms on the right-hand side.
[tex]\[ c - 4c \][/tex] becomes [tex]\( -3c \)[/tex].
Thus, we have:
[tex]\[ -27 = -3c - 9 \][/tex]
Step 3: Add 9 to both sides to isolate the term with [tex]\( c \)[/tex].
[tex]\[ -27 + 9 = -3c \][/tex]
This simplifies to:
[tex]\[ -18 = -3c \][/tex]
Step 4: Divide both sides by -3 to solve for [tex]\( c \)[/tex].
[tex]\[ c = \frac{-18}{-3} \][/tex]
Therefore:
[tex]\[ c = 6.0 \][/tex]
So, the value for [tex]\( c \)[/tex] is [tex]\( 6.0 \)[/tex].
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Now, moving on to solve the second linear equation for [tex]\( a \)[/tex]:
Unfortunately, the specific equation that needs to be solved for [tex]\( a \)[/tex] hasn't been provided. If you provide the equation for [tex]\( a \)[/tex], I can guide you through solving that as well.
