Solve 7k-6(-7k+6)/4=-36-34

$$\frac { 7 k - 6 ( - 7 k + 6 ) } { 4 } = - 36 - 34$$

Solve for k

$$k = -\frac{244}{49} = -4\frac{48}{49} \approx -4.979591837$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$7k-6\left(-7k+6\right)=-144-136$$

Use the distributive property to multiply -6 by -7k+6.

$$7k+42k-36=-144-136$$

Combine 7k and 42k to get 49k.

$$49k-36=-144-136$$

Subtract 136 from -144 to get -280.

$$49k-36=-280$$

Add 36 to both sides.

$$49k=-280+36$$

Add -280 and 36 to get -244.

$$49k=-244$$

Divide both sides by 49.

$$k=\frac{-244}{49}$$

Fraction \frac{-244}{49} can be rewritten as -\frac{244}{49} by extracting the negative sign.

$$k=-\frac{244}{49}$$