Question

For what value of q is the equation –13(q + 4) = 7q + 16 true?

Answer 1

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• The value of q is -3.4

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➤ How to solve ?

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That's quite easy but you need to recall the BODMAS rule .

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BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction

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In this equation we will solve the bracket then we will apply further BODMAS rule

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SolutiOn :

➠ - 13 ( q + 4 ) = 7q + 16

➠ -13q - 52 = 7q + 16

Now, we will bring the variable on left hand side and constants on right hand side

➠ -13q - 7q = 52 + 16

➠ -20q = 68

➠ q = 68/ -20

➠ q = 34/-10

As we have 10 in the denominator we can directly put the decimal .

➠ q = -3.4

∴ The value of q is - 3.4.

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Answer 2

Hello! :)

`\large\boxed{q = -3.4}`

-13(q + 4) = 7q + 16

Distribute the coefficient outside of the parenthesis:

-13(q) - 13(4) = 7q + 16

Simplify:

-13q - 52 = 7q + 16

Isolate for q by subtracting 7q from both sides:

-13q - 7q - 52 = 7q - 7q + 16

-20q - 52 = 16

Add 52 to both sides:

-20q - 52 + 52 = 16 + 52

-20q = 68

Divide both sides by -20:

-20q / (-20) = 68 / (-20)

q = -3.4