Solve 2(-9r+5)=-(20r-4)

$$2 ( - 9 r + 5 ) = - ( 20 r - 4 )$$

Solve for r

$$r=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by -9r+5.

$$-18r+10=-\left(20r-4\right)$$

To find the opposite of 20r-4, find the opposite of each term.

$$-18r+10=-20r-\left(-4\right)$$

The opposite of -4 is 4.

$$-18r+10=-20r+4$$

Add 20r to both sides.

$$-18r+10+20r=4$$

Combine -18r and 20r to get 2r.

$$2r+10=4$$

Subtract 10 from both sides.

$$2r=4-10$$

Subtract 10 from 4 to get -6.

$$2r=-6$$

Divide both sides by 2.

$$r=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$r=-3$$