Solve 14=4+left(1-350/400right)m

$$14 = 4+ \left( 1- \frac{ 350 }{ 400 } \right) m$$

Solve for m

$$m=80$$

Steps for Solving Linear Equation

Reduce the fraction \frac{350}{400} to lowest terms by extracting and canceling out 50.

$$14=4+\left(1-\frac{7}{8}\right)m$$

Convert 1 to fraction \frac{8}{8}.

$$14=4+\left(\frac{8}{8}-\frac{7}{8}\right)m$$

Since \frac{8}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$14=4+\frac{8-7}{8}m$$

Subtract 7 from 8 to get 1.

$$14=4+\frac{1}{8}m$$

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

$$4+\frac{1}{8}m=14$$

Subtract 4 from both sides.

$$\frac{1}{8}m=14-4$$

Subtract 4 from 14 to get 10.

$$\frac{1}{8}m=10$$

Multiply both sides by 8, the reciprocal of \frac{1}{8}.

$$m=10\times 8$$

Multiply 10 and 8 to get 80.

$$m=80$$