3+4a=2(-a+2)-37

Solution for 3+4a=2(-a+2)-37 equation:

Simplifying
3 + 4a = 2(-1a + 2) + -37

Reorder the terms:
3 + 4a = 2(2 + -1a) + -37
3 + 4a = (2 * 2 + -1a * 2) + -37
3 + 4a = (4 + -2a) + -37

Reorder the terms:
3 + 4a = 4 + -37 + -2a

Combine like terms: 4 + -37 = -33
3 + 4a = -33 + -2a

Solving
3 + 4a = -33 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
3 + 4a + 2a = -33 + -2a + 2a

Combine like terms: 4a + 2a = 6a
3 + 6a = -33 + -2a + 2a

Combine like terms: -2a + 2a = 0
3 + 6a = -33 + 0
3 + 6a = -33

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

Combine like terms: 3 + -3 = 0
0 + 6a = -33 + -3
6a = -33 + -3

Combine like terms: -33 + -3 = -36
6a = -36

Divide each side by '6'.
a = -6

Simplifying
a = -6