Solve 80.8=-1f-(-8.3f-66.2)

$$80.8 = - 1 f - ( - 8.3 f - 66.2 )$$

Solve for f

$$f=2$$

Steps for Solving Linear Equation

To find the opposite of -8.3f-66.2, find the opposite of each term.

$$80.8=-f-\left(-8.3f\right)-\left(-66.2\right)$$

The opposite of -8.3f is 8.3f.

$$80.8=-f+8.3f-\left(-66.2\right)$$

The opposite of -66.2 is 66.2.

$$80.8=-f+8.3f+66.2$$

Combine -f and 8.3f to get 7.3f.

$$80.8=7.3f+66.2$$

Swap sides so that all variable terms are on the left hand side.

$$7.3f+66.2=80.8$$

Subtract 66.2 from both sides.

$$7.3f=80.8-66.2$$

Subtract 66.2 from 80.8 to get 14.6.

$$7.3f=14.6$$

Divide both sides by 7.3.

$$f=\frac{14.6}{7.3}$$

Expand \frac{14.6}{7.3} by multiplying both numerator and the denominator by 10.

$$f=\frac{146}{73}$$

Divide 146 by 73 to get 2.

$$f=2$$