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

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


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

Reorder the terms:
3a + -3(-6 + 2a) = 2(-6 + 3a) + -6
3a + (-6 * -3 + 2a * -3) = 2(-6 + 3a) + -6
3a + (18 + -6a) = 2(-6 + 3a) + -6

Reorder the terms:
18 + 3a + -6a = 2(-6 + 3a) + -6

Combine like terms: 3a + -6a = -3a
18 + -3a = 2(-6 + 3a) + -6
18 + -3a = (-6 * 2 + 3a * 2) + -6
18 + -3a = (-12 + 6a) + -6

Reorder the terms:
18 + -3a = -12 + -6 + 6a

Combine like terms: -12 + -6 = -18
18 + -3a = -18 + 6a

Solving
18 + -3a = -18 + 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.
18 + -3a + -6a = -18 + 6a + -6a

Combine like terms: -3a + -6a = -9a
18 + -9a = -18 + 6a + -6a

Combine like terms: 6a + -6a = 0
18 + -9a = -18 + 0
18 + -9a = -18

Add '-18' to each side of the equation.
18 + -18 + -9a = -18 + -18

Combine like terms: 18 + -18 = 0
0 + -9a = -18 + -18
-9a = -18 + -18

Combine like terms: -18 + -18 = -36
-9a = -36

Divide each side by '-9'.
a = 4

Simplifying
a = 4

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