(3a-4a+7)-(5a-2a+1)=

Solution for (3a-4a+7)-(5a-2a+1)= equation:

Simplifying
(3a + -4a + 7) + -1(5a + -2a + 1) = 0

Reorder the terms:
(7 + 3a + -4a) + -1(5a + -2a + 1) = 0

Combine like terms: 3a + -4a = -1a
(7 + -1a) + -1(5a + -2a + 1) = 0

Remove parenthesis around (7 + -1a)
7 + -1a + -1(5a + -2a + 1) = 0

Reorder the terms:
7 + -1a + -1(1 + 5a + -2a) = 0

Combine like terms: 5a + -2a = 3a
7 + -1a + -1(1 + 3a) = 0
7 + -1a + (1 * -1 + 3a * -1) = 0
7 + -1a + (-1 + -3a) = 0

Reorder the terms:
7 + -1 + -1a + -3a = 0

Combine like terms: 7 + -1 = 6
6 + -1a + -3a = 0

Combine like terms: -1a + -3a = -4a
6 + -4a = 0

Solving
6 + -4a = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + -4a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = 0 + -6
-4a = 0 + -6

Combine like terms: 0 + -6 = -6
-4a = -6

Divide each side by '-4'.
a = 1.5

Simplifying
a = 1.5