Solve 3.5=-frac{3sqrt{7}}{2}*sqrt{7}+b

$$3.5 = - \frac { 3 \sqrt { 7 } } { 2 } \times \sqrt { 7 } + b$$

Solve for b

$$b=14$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$7=2\left(-\frac{3\sqrt{7}}{2}\right)\sqrt{7}+2b$$

Express 2\left(-\frac{3\sqrt{7}}{2}\right) as a single fraction.

$$7=\frac{-2\times 3\sqrt{7}}{2}\sqrt{7}+2b$$

Cancel out 2 and 2.

$$7=-3\sqrt{7}\sqrt{7}+2b$$

Multiply \sqrt{7} and \sqrt{7} to get 7.

$$7=-3\times 7+2b$$

Multiply -3 and 7 to get -21.

$$7=-21+2b$$

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

$$-21+2b=7$$

Add 21 to both sides.

$$2b=7+21$$

Add 7 and 21 to get 28.

$$2b=28$$

Divide both sides by 2.

$$b=\frac{28}{2}$$

Divide 28 by 2 to get 14.

$$b=14$$