(a-3)=4a-(2a-6)

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Solution for (a-3)=4a-(2a-6) equation:


Simplifying
(a + -3) = 4a + -1(2a + -6)

Reorder the terms:
(-3 + a) = 4a + -1(2a + -6)

Remove parenthesis around (-3 + a)
-3 + a = 4a + -1(2a + -6)

Reorder the terms:
-3 + a = 4a + -1(-6 + 2a)
-3 + a = 4a + (-6 * -1 + 2a * -1)
-3 + a = 4a + (6 + -2a)

Reorder the terms:
-3 + a = 6 + 4a + -2a

Combine like terms: 4a + -2a = 2a
-3 + a = 6 + 2a

Solving
-3 + a = 6 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-3 + a + -2a = 6 + 2a + -2a

Combine like terms: a + -2a = -1a
-3 + -1a = 6 + 2a + -2a

Combine like terms: 2a + -2a = 0
-3 + -1a = 6 + 0
-3 + -1a = 6

Add '3' to each side of the equation.
-3 + 3 + -1a = 6 + 3

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

Combine like terms: 6 + 3 = 9
-1a = 9

Divide each side by '-1'.
a = -9

Simplifying
a = -9

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