Solve G=(M+40%)8500

$$G = ( M + 40 \% ) 8500$$

Solve for G

$$G=8500M+3400$$

Solution Steps

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$G=\left(M+\frac{2}{5}\right)\times 8500$$

Use the distributive property to multiply M+\frac{2}{5} by 8500.

$$G=8500M+3400$$

Solve for M

$$M=\frac{G-3400}{8500}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$G=\left(M+\frac{2}{5}\right)\times 8500$$

Use the distributive property to multiply M+\frac{2}{5} by 8500.

$$G=8500M+3400$$

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

$$8500M+3400=G$$

Subtract 3400 from both sides.

$$8500M=G-3400$$

Divide both sides by 8500.

$$\frac{8500M}{8500}=\frac{G-3400}{8500}$$

Dividing by 8500 undoes the multiplication by 8500.

$$M=\frac{G-3400}{8500}$$

Divide G-3400 by 8500.

$$M=\frac{G}{8500}-\frac{2}{5}$$