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

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


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

Reorder the terms:
3(-3 + a) = 6a + -1(3a + a)
(-3 * 3 + a * 3) = 6a + -1(3a + a)
(-9 + 3a) = 6a + -1(3a + a)

Combine like terms: 3a + a = 4a
-9 + 3a = 6a + -1(4a)

Remove parenthesis around (4a)
-9 + 3a = 6a + -1 * 4a

Multiply -1 * 4
-9 + 3a = 6a + -4a

Combine like terms: 6a + -4a = 2a
-9 + 3a = 2a

Solving
-9 + 3a = 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.
-9 + 3a + -2a = 2a + -2a

Combine like terms: 3a + -2a = 1a
-9 + 1a = 2a + -2a

Combine like terms: 2a + -2a = 0
-9 + 1a = 0

Add '9' to each side of the equation.
-9 + 9 + 1a = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 1a = 0 + 9
1a = 0 + 9

Combine like terms: 0 + 9 = 9
1a = 9

Divide each side by '1'.
a = 9

Simplifying
a = 9

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