Solve 4500=10/2[2a+(10-1)(-10)]

$$4500 = \frac { 10 } { 2 } [ 2 a + ( 10 - 1 ) ( - 10 ) ]$$

Solve for a

$$a=495$$

Steps for Solving Linear Equation

Divide 10 by 2 to get 5.

$$4500=5\left(2a+\left(10-1\right)\left(-10\right)\right)$$

Subtract 1 from 10 to get 9.

$$4500=5\left(2a+9\left(-10\right)\right)$$

Multiply 9 and -10 to get -90.

$$4500=5\left(2a-90\right)$$

Use the distributive property to multiply 5 by 2a-90.

$$4500=10a-450$$

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

$$10a-450=4500$$

Add 450 to both sides.

$$10a=4500+450$$

Add 4500 and 450 to get 4950.

$$10a=4950$$

Divide both sides by 10.

$$a=\frac{4950}{10}$$

Divide 4950 by 10 to get 495.

$$a=495$$