94.6k views
5 votes
14+12w=-16+9w simplify w

2 Answers

4 votes

Answer: -10

Explanation:

14+12w= -16+9w.

Subtract 9w on both sides, and subtract 14 on both sides

14-14 +12w- 9w= -16-14+9w-9w

Cancel the 14, and 9w

12w-9w=-16-14

Subtraction

3w=-30

divide by 3

w=-10

User Mahesh Vayak
by
8.7k points
7 votes

Equations

All equations aim for the same thing, which is isolating the variable.

Step by step, we isolate the variable, using inverse operations and combining like terms. So let's do this.


\sf{14+12w=-16+9w}


\sf{14+12w-9w=-16}


\sf{14+3w=-16}


\sf{3w=-16-14}


\sf{3w=-30}

Divide each side by 3.


\sf{w=-10}

Hence, the answer is w = -10.


\rule{350}{4}


\frak{-Dream-}

User David Rinck
by
8.6k points

Related questions

1 answer
1 vote
91.7k views
1 answer
1 vote
170k views
asked Jan 18, 2017 110k views
Eric Elliott asked Jan 18, 2017
by Eric Elliott
7.1k points
1 answer
5 votes
110k views