Question

How do you simplify the given expression $18m-7+12m$?

Answer 1

Hint: We start solving the problem by equating the given expression to a variable. We then bring the terms with m and terms with constants present in the expression together to proceed through the problem. We then add the coefficients of terms with m and constants present in the expression to get the required answer for the given problem.

Complete step-by-step answer:
According to the problem, we are asked to simplify the given expression $18m-7+12m$.
Let us assume $e=18m-7+12m$ ---(1).
Now, let us bring the terms with m together and terms with constants together in equation (1).
$\Rightarrow e=18m+12m-7$ ---(2).
Now, let us add the coefficients of terms with m and constants (if more than 1 constant is present) in equation (2).
$\Rightarrow e=\left( 18+12 \right)m-7$.
$\Rightarrow e=30m-7$.
So, we have found the simplified form of the given expression $18m-7+12m$ as $30m-7$.
$\therefore $ The simplified form of the given expression $18m-7+12m$ is $30m-7$.

Note: Whenever we get this type of problems, we first use bright terms with similar variables and constants together to avoid confusion while performing addition or subtraction or multiplication operations. We should not make calculation mistakes while solving this type of problem. We should not add 18, 12 and -7 while solving this problem which is the common mistake done by students. Similarly, we can expect problems to find the simplified form, degree and zeros of the given expression $4{{x}^{2}}+8+2{{x}^{2}}-16x-5+6x$.