Solve -1/w+7=6

$$- \frac { 1 } { w + 7 } = 6$$

Solve for w

$$w = -\frac{43}{6} = -7\frac{1}{6} \approx -7.166666667$$

Steps for Solving Linear Equation

Variable w cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by w+7.

$$-1=6\left(w+7\right)$$

Use the distributive property to multiply 6 by w+7.

$$-1=6w+42$$

Swap sides so that all variable terms are on the left hand side.

$$6w+42=-1$$

Subtract 42 from both sides.

$$6w=-1-42$$

Subtract 42 from -1 to get -43.

$$6w=-43$$

Divide both sides by 6.

$$w=\frac{-43}{6}$$

Fraction \frac{-43}{6} can be rewritten as -\frac{43}{6} by extracting the negative sign.

$$w=-\frac{43}{6}$$