asked 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

answered
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-}

answered
User David Rinck
by
8.6k points

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