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3/5t + 7 = -8 I need help solving this

1 Answer

2 votes

The expression we have is:


(3)/(5)t+7=-8

Step 1. Substract 7 from both sides of the equation:


\begin{gathered} (3)/(5)t+7-7=-8-7 \\ (3)/(5)t=-15 \end{gathered}

Step 2. Multiply both sides by 5/3 to eliminat the 3/5 on the left:


(5)/(3)*(3)/(5)t=(5)/(3)*(-15)

On the left we are left only with t:


t=(5)/(3)*(-15)

Step 3. Solve the multiplication on the right side:


\begin{gathered} t=-(5*15)/(3) \\ t=-(75)/(3) \end{gathered}

Step 4. Solve the division to find the final value of t:


t=-25

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