Solve k+(-3/4)/2-3k-2=-3/2

$$\frac { k + ( - \frac { 3 } { 4 } ) } { 2 } - 3 k - 2 = - \frac { 3 } { 2 }$$

Solve for k

$$k=-\frac{7}{20}=-0.35$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$k-\frac{3}{4}-6k-4=-3$$

Combine k and -6k to get -5k.

$$-5k-\frac{3}{4}-4=-3$$

Convert 4 to fraction \frac{16}{4}.

$$-5k-\frac{3}{4}-\frac{16}{4}=-3$$

Since -\frac{3}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$-5k+\frac{-3-16}{4}=-3$$

Subtract 16 from -3 to get -19.

$$-5k-\frac{19}{4}=-3$$

Add \frac{19}{4} to both sides.

$$-5k=-3+\frac{19}{4}$$

Convert -3 to fraction -\frac{12}{4}.

$$-5k=-\frac{12}{4}+\frac{19}{4}$$

Since -\frac{12}{4} and \frac{19}{4} have the same denominator, add them by adding their numerators.

$$-5k=\frac{-12+19}{4}$$

Add -12 and 19 to get 7.

$$-5k=\frac{7}{4}$$

Divide both sides by -5.

$$k=\frac{\frac{7}{4}}{-5}$$

Express \frac{\frac{7}{4}}{-5} as a single fraction.

$$k=\frac{7}{4\left(-5\right)}$$

Multiply 4 and -5 to get -20.

$$k=\frac{7}{-20}$$

Fraction \frac{7}{-20} can be rewritten as -\frac{7}{20} by extracting the negative sign.

$$k=-\frac{7}{20}$$