Solve 0.14(R+15)=0.2(R+9)

$$0.14 ( R + 15 ) = 0.2 ( R + 9 )$$

Solve for R

$$R=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.14 by R+15.

$$0.14R+2.1=0.2\left(R+9\right)$$

Use the distributive property to multiply 0.2 by R+9.

$$0.14R+2.1=0.2R+1.8$$

Subtract 0.2R from both sides.

$$0.14R+2.1-0.2R=1.8$$

Combine 0.14R and -0.2R to get -0.06R.

$$-0.06R+2.1=1.8$$

Subtract 2.1 from both sides.

$$-0.06R=1.8-2.1$$

Subtract 2.1 from 1.8 to get -0.3.

$$-0.06R=-0.3$$

Divide both sides by -0.06.

$$R=\frac{-0.3}{-0.06}$$

Expand \frac{-0.3}{-0.06} by multiplying both numerator and the denominator by 100.

$$R=\frac{-30}{-6}$$

Divide -30 by -6 to get 5.

$$R=5$$