Question

How do you solve $ 6\left( {w - 1} \right) = 3\left( {3w + 5} \right) $ ?

Answer 1

Hint: In this question, we are provided with a linear equation with $ w $ as a variable. We have to find the value of this variable $ w $ . For such questions, try to shift the variables to one side and the constants to the other side. it would make the question easier.

Complete step by step solution:
In the question, $ w $ is the variable and we have to find the value of this variable.
Reviving the common definitions: constant is the value which remains unaltered or unchanged or mathematically it’s a number itself whereas a variable is the value which can be changed mathematically represented by alphabets or symbols.
 $ 6\left( {w - 1} \right) = 3\left( {3w + 5} \right) $
Multiply the numbers inside the brackets in order to remove them.
 $ 6w - 6 = 9w + 15 $
Take the variables to the left-hand side and the constants to the right-hand sign.
 $ 6w - 9w = 15 + 6 $
Keep in mind, on changing the directions. Signs will change. Do the basic calculations
 $ - 3w = 21 $
Dividing by $ - 3 $
 $ \Rightarrow w = \dfrac{{ - 21}}{3} = - 7 $ $ $
So, the final answer is $ w = - 7 $
So, the correct answer is “ $ w = - 7 $ ”.

Note: Linear equations are quite easier to solve. The difficulty level is when we have to find two variables to solve. Just keep in mind to have constants on the right-hand side and the variables to the left-hand side. solve the simple calculations carefully.
Don’t get confused as we are not provided the variable in “w” or in “x”. both the variables represent the one and the same thing. Just be concentrated on changing the directions and while doing the basic calculations.