Question

How do you simplify the expression $4g - 5g + 6 + 6g?$

Answer 1

Hint: As we know that the above question is an algebraic expression or we can say variable expression. An algebraic expression is a mathematical expression that contains a combination of numbers, variables and operational symbols. A variable is a letter that can represent one or more numbers. These letters are actually numbers in disguise. Variables which means they can vary. In this question we have the variable letter $'g'$ and constant term $6$.

Complete step by step solution:
As per the given equation we have an variable expression i.e. $4g - 5g + 6 + 6g$. We will simplify it.
First arrange all the variable terms together i.e. $4g - 5g + 6g + 6$.
We will just normally add and subtract the number from another with the positive or negative sign keeping in mind. We have: $10g - 5g + 6 = 5g + 6$.

Hence the required simplified value is $5g + 6$..

Note: Before solving this kind of question we should know what the algebraic expression is and their rules, properties. We should also keep the changing signs in mind i.e. the positive or the negative signs while solving as wrong signs can lead to the wrong answer. Also we should keep in mind that if there is no symbol present before the given number, integer or variable then the sign is considered to be positive sign