Question

How do you combine $9( - 7g + 6) + g?$

Answer 1

Hint: First of all take the given expression and we will open the brackets and will combine the like terms and will simplify for the resultant required value.

Complete step by step solution:
Take the given expression: $9( - 7g + 6) + g$
Open the bracket multiplying the term outside with the terms inside the bracket.
$\Rightarrow 9( - 7g) + 9(6) + g$
Simplify the above expression –
$\Rightarrow - 63g + 54 + g$
Take like terms together, like terms are the terms with the same variable and its power.
$ \Rightarrow - 63g + g + 54$
Combine the like terms, when you add one positive term and one negative term you have to do subtraction and give sign of the bigger number to the resultant value.
$ \Rightarrow - 62g + 54$
This is the required solution.

Additional Information:
While doing simplification remember the golden rules-
Addition of two positive terms gives the positive term
Addition of one negative and positive term, you have to do subtraction and give signs of bigger numbers, whether positive or negative.
Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.

Note: Be very careful while simplification of the terms. When you open the brackets and there is a negative sign outside the bracket then the sign of the terms inside the bracket will be changed. Positive terms will become negative and negative term become positive. Also, remember when there is a positive sign outside the bracket then the sign of the terms inside the bracket do not change and remains the same.