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Solve each equation, if possible.$$7+3 w=4+9 w$$
$w=1 / 2$
Precalculus
Algebra
Chapter 2
Equations, Inequalities, and Problem Solving
Section 2
More about Solving Equations
Algebra Topics That are Reviewed at the Start of the Semester
Equations and Inequalities
Missouri State University
Campbell University
Oregon State University
McMaster University
Lectures
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we're solving seven plus three. W equals four plus nine W. So my goal is to get the variables on one side and introduced on the left. So what I'm thinking is I'm gonna start by subtracting three w and I get seven equals four plus six w Next. I'm gonna want to get that six w all by itself. So all subtract four to undo it. So I get three equals six w since six is multiplied by W. I'm gonna undo that by dividing by six. And I get w equals 1/2. Okay, let's check to make sure that actually works of seven plus three times 1/2 is it equal to four plus nine times 1/2 I get seven plus three halfs equals four plus nine halfs. I'm gonna go ahead and multiply both sides by two. Here I get 14. Here. The twos cross off. Here, I get eight here, the twos cross off and 17 equals 17. So W is 1/2
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