Solve 7(3w+1/4)-3w=1

$$7 ( 3 w + \frac { 1 } { 4 } ) - 3 w = 1$$

Solve for w

$$w=-\frac{1}{24}\approx -0.041666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 3w+\frac{1}{4}.

$$21w+7\times \frac{1}{4}-3w=1$$

Multiply 7 and \frac{1}{4} to get \frac{7}{4}.

$$21w+\frac{7}{4}-3w=1$$

Combine 21w and -3w to get 18w.

$$18w+\frac{7}{4}=1$$

Subtract \frac{7}{4} from both sides.

$$18w=1-\frac{7}{4}$$

Convert 1 to fraction \frac{4}{4}.

$$18w=\frac{4}{4}-\frac{7}{4}$$

Since \frac{4}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$18w=\frac{4-7}{4}$$

Subtract 7 from 4 to get -3.

$$18w=-\frac{3}{4}$$

Divide both sides by 18.

$$w=\frac{-\frac{3}{4}}{18}$$

Express \frac{-\frac{3}{4}}{18} as a single fraction.

$$w=\frac{-3}{4\times 18}$$

Multiply 4 and 18 to get 72.

$$w=\frac{-3}{72}$$

Reduce the fraction \frac{-3}{72} to lowest terms by extracting and canceling out 3.

$$w=-\frac{1}{24}$$