Solve 0.02(7t-9)=0.14(t+4)-0.74

$$0.02 ( 7 t - 9 ) = 0.14 ( t + 4 ) - 0.74$$

Solve for t (complex solution)

$$t\in \mathrm{C}$$

Solution Steps

Use the distributive property to multiply 0.02 by 7t-9.

$$0.14t-0.18=0.14\left(t+4\right)-0.74$$

Use the distributive property to multiply 0.14 by t+4.

$$0.14t-0.18=0.14t+0.56-0.74$$

Subtract 0.74 from 0.56 to get -0.18.

$$0.14t-0.18=0.14t-0.18$$

Subtract 0.14t from both sides.

$$0.14t-0.18-0.14t=-0.18$$

Combine 0.14t and -0.14t to get 0.

$$-0.18=-0.18$$

Compare -0.18 and -0.18.

$$\text{true}$$

This is true for any t.

$$t\in \mathrm{C}$$

Solve for t

$$t\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply 0.02 by 7t-9.

$$0.14t-0.18=0.14\left(t+4\right)-0.74$$

Use the distributive property to multiply 0.14 by t+4.

$$0.14t-0.18=0.14t+0.56-0.74$$

Subtract 0.74 from 0.56 to get -0.18.

$$0.14t-0.18=0.14t-0.18$$

Subtract 0.14t from both sides.

$$0.14t-0.18-0.14t=-0.18$$

Combine 0.14t and -0.14t to get 0.

$$-0.18=-0.18$$

Compare -0.18 and -0.18.

$$\text{true}$$

This is true for any t.

$$t\in \mathrm{R}$$