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

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


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

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

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

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

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

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

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

Solving
-3 + 3a = 6a

Solving for variable 'a'.

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + -3a = 0 + 3

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

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

Divide each side by '-3'.
a = -1

Simplifying
a = -1

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