Solve 70.2=3.23(b+3)+8.83

$$70.2 = 3.23 ( b + 3 ) + 8.83$$

Solve for b

$$b=16$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3.23 by b+3.

$$70.2=3.23b+9.69+8.83$$

Add 9.69 and 8.83 to get 18.52.

$$70.2=3.23b+18.52$$

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

$$3.23b+18.52=70.2$$

Subtract 18.52 from both sides.

$$3.23b=70.2-18.52$$

Subtract 18.52 from 70.2 to get 51.68.

$$3.23b=51.68$$

Divide both sides by 3.23.

$$b=\frac{51.68}{3.23}$$

Expand \frac{51.68}{3.23} by multiplying both numerator and the denominator by 100.

$$b=\frac{5168}{323}$$

Divide 5168 by 323 to get 16.

$$b=16$$