Solve -5(4t-4)+mut=2t-5

$$- 5 ( 4 t - 4 ) + \mu t = 2 t - 5$$

Solve for t

$$t=-\frac{25}{\mu -22}$$

$$\mu \neq 22$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 4t-4.

$$-20t+20+\mu t=2t-5$$

Subtract 2t from both sides.

$$-20t+20+\mu t-2t=-5$$

Combine -20t and -2t to get -22t.

$$-22t+20+\mu t=-5$$

Subtract 20 from both sides.

$$-22t+\mu t=-5-20$$

Subtract 20 from -5 to get -25.

$$-22t+\mu t=-25$$

Combine all terms containing t.

$$\left(-22+\mu \right)t=-25$$

The equation is in standard form.

$$\left(\mu -22\right)t=-25$$

Divide both sides by \mu -22.

$$\frac{\left(\mu -22\right)t}{\mu -22}=-\frac{25}{\mu -22}$$

Dividing by \mu -22 undoes the multiplication by \mu -22.

$$t=-\frac{25}{\mu -22}$$

Solve for μ

$$\mu =22-\frac{25}{t}$$

$$t\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 4t-4.

$$-20t+20+\mu t=2t-5$$

Add 20t to both sides.

$$20+\mu t=2t-5+20t$$

Combine 2t and 20t to get 22t.

$$20+\mu t=22t-5$$

Subtract 20 from both sides.

$$\mu t=22t-5-20$$

Subtract 20 from -5 to get -25.

$$\mu t=22t-25$$

The equation is in standard form.

$$t\mu =22t-25$$

Divide both sides by t.

$$\frac{t\mu }{t}=\frac{22t-25}{t}$$

Dividing by t undoes the multiplication by t.

$$\mu =\frac{22t-25}{t}$$

Divide 22t-25 by t.

$$\mu =22-\frac{25}{t}$$