-6a+3=33(2a-1)

Solution for -6a+3=33(2a-1) equation:

Simplifying
-6a + 3 = 33(2a + -1)

Reorder the terms:
3 + -6a = 33(2a + -1)

Reorder the terms:
3 + -6a = 33(-1 + 2a)
3 + -6a = (-1 * 33 + 2a * 33)
3 + -6a = (-33 + 66a)

Solving
3 + -6a = -33 + 66a

Solving for variable 'a'.

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

Add '-66a' to each side of the equation.
3 + -6a + -66a = -33 + 66a + -66a

Combine like terms: -6a + -66a = -72a
3 + -72a = -33 + 66a + -66a

Combine like terms: 66a + -66a = 0
3 + -72a = -33 + 0
3 + -72a = -33

Add '-3' to each side of the equation.
3 + -3 + -72a = -33 + -3

Combine like terms: 3 + -3 = 0
0 + -72a = -33 + -3
-72a = -33 + -3

Combine like terms: -33 + -3 = -36
-72a = -36

Divide each side by '-72'.
a = 0.5

Simplifying
a = 0.5