7a-3(a-1)=51

Solution for 7a-3(a-1)=51 equation:

Simplifying
7a + -3(a + -1) = 51

Reorder the terms:
7a + -3(-1 + a) = 51
7a + (-1 * -3 + a * -3) = 51
7a + (3 + -3a) = 51

Reorder the terms:
3 + 7a + -3a = 51

Combine like terms: 7a + -3a = 4a
3 + 4a = 51

Solving
3 + 4a = 51

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 4a = 51 + -3

Combine like terms: 3 + -3 = 0
0 + 4a = 51 + -3
4a = 51 + -3

Combine like terms: 51 + -3 = 48
4a = 48

Divide each side by '4'.
a = 12

Simplifying
a = 12