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Find the value of 6w-8 given that -5w - 6=4. Simplify your answer as much as possible.

Sagot :

From the given problem,

[tex]-5w-6=4[/tex]

Solving for the value of w,

Add 6 to both sides of the equation

[tex]\begin{gathered} -5w-6+6=4+6 \\ -5w=10 \end{gathered}[/tex]

Divide both sides by -5 :

[tex]\begin{gathered} \frac{-5w}{-5}=\frac{10}{-5} \\ w=-2 \end{gathered}[/tex]

Now substitute the value of w to the asking expression.

[tex]\begin{gathered} 6w-8=6(-2)-8 \\ =-12-8 \\ =-20 \end{gathered}[/tex]

The answer is -20

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