Solve -5(-5w+7)-w=6(w-8)-1

$$- 5 ( - 5 w + 7 ) - w = 6 ( w - 8 ) - 1$$

Solve for w

$$w=-\frac{7}{9}\approx -0.777777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by -5w+7.

$$25w-35-w=6\left(w-8\right)-1$$

Combine 25w and -w to get 24w.

$$24w-35=6\left(w-8\right)-1$$

Use the distributive property to multiply 6 by w-8.

$$24w-35=6w-48-1$$

Subtract 1 from -48 to get -49.

$$24w-35=6w-49$$

Subtract 6w from both sides.

$$24w-35-6w=-49$$

Combine 24w and -6w to get 18w.

$$18w-35=-49$$

Add 35 to both sides.

$$18w=-49+35$$

Add -49 and 35 to get -14.

$$18w=-14$$

Divide both sides by 18.

$$w=\frac{-14}{18}$$

Reduce the fraction \frac{-14}{18} to lowest terms by extracting and canceling out 2.

$$w=-\frac{7}{9}$$