Solve for w
w = -\frac{14}{5} = -2\frac{4}{5} = -2.8
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1-7w+2w=15
Add 2w to both sides.
1-5w=15
Combine -7w and 2w to get -5w.
-5w=15-1
Subtract 1 from both sides.
-5w=14
Subtract 1 from 15 to get 14.
w=\frac{14}{-5}
Divide both sides by -5.
w=-\frac{14}{5}
Fraction \frac{14}{-5} can be rewritten as -\frac{14}{5} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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