Question

How do you simplify $w+23w$?

Answer 1

Hint: We separate the coefficients of the variables of the equation $w+23w$. We apply the binary operation of addition for the coefficients. The solutions of the addition of the variables give the final answer. There are no constants to operate any further binary operation.

Complete step by step solution:
The given equation $w+23w$ is a linear equation of $w$. we need to simplify the equation by solving the coefficients of the variables.
All the terms in the equation of $w+23w$ are variable of $w$. We first separate the coefficients of the variables.
There are two such variables which are $w$ and $23w$. The signs of the variables are both positive with coefficients being 23 and 1 respectively.
The binary operation between them is addition which gives us $23+1=24$.
Therefore, the coefficient of the variable of the final answer will be 24.
So, $w+23w=24w$
There are no constants to operate any further binary operation.

Note:
We can verify the result of the equation $w+23w=24w$ by taking an arbitrary value of $w$ as $w=2$.
Therefore, the left-hand side of the equation becomes $w+23w=2+23\times 2=2+46=48$.
The right-hand side of the equation is $24w=24\times 2=48$.
Thus, verified the equation $w+23w=24w$.