6-3(1-6a)=2a+35

Solution for 6-3(1-6a)=2a+35 equation:

Simplifying
6 + -3(1 + -6a) = 2a + 35
6 + (1 * -3 + -6a * -3) = 2a + 35
6 + (-3 + 18a) = 2a + 35

Combine like terms: 6 + -3 = 3
3 + 18a = 2a + 35

Reorder the terms:
3 + 18a = 35 + 2a

Solving
3 + 18a = 35 + 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 + 18a + -2a = 35 + 2a + -2a

Combine like terms: 18a + -2a = 16a
3 + 16a = 35 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 16a = 35 + 0
3 + 16a = 35

Add '-3' to each side of the equation.
3 + -3 + 16a = 35 + -3

Combine like terms: 3 + -3 = 0
0 + 16a = 35 + -3
16a = 35 + -3

Combine like terms: 35 + -3 = 32
16a = 32

Divide each side by '16'.
a = 2

Simplifying
a = 2