.75a+2=.33(4a+1)

Solution for .75a+2=.33(4a+1) equation:

Simplifying
0.75a + 2 = 0.33(4a + 1)

Reorder the terms:
2 + 0.75a = 0.33(4a + 1)

Reorder the terms:
2 + 0.75a = 0.33(1 + 4a)
2 + 0.75a = (1 * 0.33 + 4a * 0.33)
2 + 0.75a = (0.33 + 1.32a)

Solving
2 + 0.75a = 0.33 + 1.32a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1.32a' to each side of the equation.
2 + 0.75a + -1.32a = 0.33 + 1.32a + -1.32a

Combine like terms: 0.75a + -1.32a = -0.57a
2 + -0.57a = 0.33 + 1.32a + -1.32a

Combine like terms: 1.32a + -1.32a = 0.00
2 + -0.57a = 0.33 + 0.00
2 + -0.57a = 0.33

Add '-2' to each side of the equation.
2 + -2 + -0.57a = 0.33 + -2

Combine like terms: 2 + -2 = 0
0 + -0.57a = 0.33 + -2
-0.57a = 0.33 + -2

Combine like terms: 0.33 + -2 = -1.67
-0.57a = -1.67

Divide each side by '-0.57'.
a = 2.929824561

Simplifying
a = 2.929824561