# Solve for w 3-7/9w=-4

3-79w=-4
Simplify each term.
Combine w and 79.
3-w⋅79=-4
Move 7 to the left of w.
3-7w9=-4
3-7w9=-4
Move all terms not containing w to the right side of the equation.
Subtract 3 from both sides of the equation.
-7w9=-4-3
Subtract 3 from -4.
-7w9=-7
-7w9=-7
Multiply both sides of the equation by -97.
-97⋅(-7w9)=-97⋅-7
Simplify both sides of the equation.
Simplify -97⋅(-7w9).
Cancel the common factor of 9.
Move the leading negative in -97 into the numerator.
-97⋅(-7w9)=-97⋅-7
Move the leading negative in -7w9 into the numerator.
-97⋅-7w9=-97⋅-7
Factor 9 out of -9.
9(-1)7⋅-7w9=-97⋅-7
Cancel the common factor.
9⋅-17⋅-7w9=-97⋅-7
Rewrite the expression.
-17⋅(-7w)=-97⋅-7
-17⋅(-7w)=-97⋅-7
Cancel the common factor of 7.
Factor 7 out of -7w.
-17⋅(7(-w))=-97⋅-7
Cancel the common factor.
-17⋅(7(-w))=-97⋅-7
Rewrite the expression.
-1⋅(-w)=-97⋅-7
-1⋅(-w)=-97⋅-7
Multiply.
Multiply -1 by -1.
1⋅w=-97⋅-7
Multiply w by 1.
w=-97⋅-7
w=-97⋅-7
w=-97⋅-7
Simplify -97⋅-7.
Cancel the common factor of 7.
Move the leading negative in -97 into the numerator.
w=-97⋅-7
Factor 7 out of -7.
w=-97⋅(7(-1))
Cancel the common factor.
w=-97⋅(7⋅-1)
Rewrite the expression.
w=-9⋅-1
w=-9⋅-1
Multiply -9 by -1.
w=9
w=9
w=9
Solve for w 3-7/9w=-4