(7a-2)-(-3a+1)=-3(1-3a)

Solution for (7a-2)-(-3a+1)=-3(1-3a) equation:

Simplifying
(7a + -2) + -1(-3a + 1) = -3(1 + -3a)

Reorder the terms:
(-2 + 7a) + -1(-3a + 1) = -3(1 + -3a)

Remove parenthesis around (-2 + 7a)
-2 + 7a + -1(-3a + 1) = -3(1 + -3a)

Reorder the terms:
-2 + 7a + -1(1 + -3a) = -3(1 + -3a)
-2 + 7a + (1 * -1 + -3a * -1) = -3(1 + -3a)
-2 + 7a + (-1 + 3a) = -3(1 + -3a)

Reorder the terms:
-2 + -1 + 7a + 3a = -3(1 + -3a)

Combine like terms: -2 + -1 = -3
-3 + 7a + 3a = -3(1 + -3a)

Combine like terms: 7a + 3a = 10a
-3 + 10a = -3(1 + -3a)
-3 + 10a = (1 * -3 + -3a * -3)
-3 + 10a = (-3 + 9a)

Add '3' to each side of the equation.
-3 + 3 + 10a = -3 + 3 + 9a

Combine like terms: -3 + 3 = 0
0 + 10a = -3 + 3 + 9a
10a = -3 + 3 + 9a

Combine like terms: -3 + 3 = 0
10a = 0 + 9a
10a = 9a

Solving
10a = 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
10a + -9a = 9a + -9a

Combine like terms: 10a + -9a = 1a
1a = 9a + -9a

Combine like terms: 9a + -9a = 0
1a = 0

Divide each side by '1'.
a = 0

Simplifying
a = 0