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Find the value of s which makes the foll...

Find the value of s which makes the following equation true
`s-5-{5-4+(7xx6-12-:3)}=-40`

A

`-12`

B

`-4`

C

`4`

D

`12`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( s - 5 - \{ 5 - 4 + (7 \times 6 - 12 \div 3) \} = -40 \), we will follow these steps: ### Step 1: Simplify the expression inside the curly brackets Start with the expression \( 7 \times 6 - 12 \div 3 \). 1. Calculate \( 7 \times 6 \): \[ 7 \times 6 = 42 \] 2. Calculate \( 12 \div 3 \): \[ 12 \div 3 = 4 \] 3. Now substitute these values back into the expression: \[ 42 - 4 = 38 \] ### Step 2: Substitute the simplified value back into the equation Now substitute \( 38 \) back into the equation: \[ s - 5 - \{ 5 - 4 + 38 \} = -40 \] ### Step 3: Simplify the expression inside the curly brackets Now simplify \( 5 - 4 + 38 \): \[ 5 - 4 = 1 \] \[ 1 + 38 = 39 \] ### Step 4: Substitute this value back into the equation Now substitute \( 39 \) back into the equation: \[ s - 5 - 39 = -40 \] ### Step 5: Combine like terms Combine \( -5 \) and \( -39 \): \[ s - 44 = -40 \] ### Step 6: Solve for \( s \) Add \( 44 \) to both sides of the equation: \[ s = -40 + 44 \] \[ s = 4 \] ### Final Answer The value of \( s \) that makes the equation true is: \[ \boxed{4} \]
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