Solve 2*left(0.51-aright)/3+2a=1

$$\frac{ 2 \times \left( 0.51-a \right) }{ 3 } +2a = 1$$

Solve for a

$$a=0.495$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$2\left(0.51-a\right)+6a=3$$

Use the distributive property to multiply 2 by 0.51-a.

$$1.02-2a+6a=3$$

Combine -2a and 6a to get 4a.

$$1.02+4a=3$$

Subtract 1.02 from both sides.

$$4a=3-1.02$$

Subtract 1.02 from 3 to get 1.98.

$$4a=1.98$$

Divide both sides by 4.

$$a=\frac{1.98}{4}$$

Expand \frac{1.98}{4} by multiplying both numerator and the denominator by 100.

$$a=\frac{198}{400}$$

Reduce the fraction \frac{198}{400} to lowest terms by extracting and canceling out 2.

$$a=\frac{99}{200}$$