(4a-2)-(3a+1)=8

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Solution for (4a-2)-(3a+1)=8 equation:


Simplifying
(4a + -2) + -1(3a + 1) = 8

Reorder the terms:
(-2 + 4a) + -1(3a + 1) = 8

Remove parenthesis around (-2 + 4a)
-2 + 4a + -1(3a + 1) = 8

Reorder the terms:
-2 + 4a + -1(1 + 3a) = 8
-2 + 4a + (1 * -1 + 3a * -1) = 8
-2 + 4a + (-1 + -3a) = 8

Reorder the terms:
-2 + -1 + 4a + -3a = 8

Combine like terms: -2 + -1 = -3
-3 + 4a + -3a = 8

Combine like terms: 4a + -3a = 1a
-3 + 1a = 8

Solving
-3 + 1a = 8

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 + 1a = 8 + 3

Combine like terms: -3 + 3 = 0
0 + 1a = 8 + 3
1a = 8 + 3

Combine like terms: 8 + 3 = 11
1a = 11

Divide each side by '1'.
a = 11

Simplifying
a = 11

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