Solve -6(w+2)=w-4+3(3w+2)

$$- 6 ( w + 2 ) = w - 4 + 3 ( 3 w + 2 )$$

Solve for w

$$w=-\frac{7}{8}=-0.875$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by w+2.

$$-6w-12=w-4+3\left(3w+2\right)$$

Use the distributive property to multiply 3 by 3w+2.

$$-6w-12=w-4+9w+6$$

Combine w and 9w to get 10w.

$$-6w-12=10w-4+6$$

Add -4 and 6 to get 2.

$$-6w-12=10w+2$$

Subtract 10w from both sides.

$$-6w-12-10w=2$$

Combine -6w and -10w to get -16w.

$$-16w-12=2$$

Add 12 to both sides.

$$-16w=2+12$$

Add 2 and 12 to get 14.

$$-16w=14$$

Divide both sides by -16.

$$w=\frac{14}{-16}$$

Reduce the fraction \frac{14}{-16} to lowest terms by extracting and canceling out 2.

$$w=-\frac{7}{8}$$