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What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46? 12.515.516.518.5

User Ondrej Tucny
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1 Answer

16 votes
16 votes

Step-by-step explanation

give


2(4z-6-6)=170-46

Step 1

a) do the operations inside the parenthesis and do the subtraction in the rigth side


\begin{gathered} 2(4z-6-6)=170-46 \\ 2(4z-12)=124 \\ \end{gathered}

b) apply the distributive property to break the parenthesis


\begin{gathered} 2(4z-12)=124 \\ 8z-24=124 \end{gathered}

c) add 24 in both sides


\begin{gathered} 8z-24=124 \\ 8z-24+24=124+24 \\ 8z=148 \end{gathered}

d) finally, divide both sides by 8


\begin{gathered} 8z=148 \\ (8z)/(8)=(148)/(8) \\ z=18.5 \end{gathered}

therefore, the answer is

18.5

I hope

User Lorenz Albert
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