A=3(2a-5)-(6-2a)+(3a+1)2

Solution for A=3(2a-5)-(6-2a)+(3a+1)2 equation:

Simplifying
A = 3(2a + -5) + -1(6 + -2a) + (3a + 1) * 2

Reorder the terms:
A = 3(-5 + 2a) + -1(6 + -2a) + (3a + 1) * 2
A = (-5 * 3 + 2a * 3) + -1(6 + -2a) + (3a + 1) * 2
A = (-15 + 6a) + -1(6 + -2a) + (3a + 1) * 2
A = -15 + 6a + (6 * -1 + -2a * -1) + (3a + 1) * 2
A = -15 + 6a + (-6 + 2a) + (3a + 1) * 2

Reorder the terms:
A = -15 + 6a + -6 + 2a + (1 + 3a) * 2

Reorder the terms for easier multiplication:
A = -15 + 6a + -6 + 2a + 2(1 + 3a)
A = -15 + 6a + -6 + 2a + (1 * 2 + 3a * 2)
A = -15 + 6a + -6 + 2a + (2 + 6a)

Reorder the terms:
A = -15 + -6 + 2 + 6a + 2a + 6a

Combine like terms: -15 + -6 = -21
A = -21 + 2 + 6a + 2a + 6a

Combine like terms: -21 + 2 = -19
A = -19 + 6a + 2a + 6a

Combine like terms: 6a + 2a = 8a
A = -19 + 8a + 6a

Combine like terms: 8a + 6a = 14a
A = -19 + 14a

Solving
A = -19 + 14a

Solving for variable 'A'.

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

Simplifying
A = -19 + 14a