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

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


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

Reorder the terms:
3(6 + 2a) + -6(a + 6) = -3a + -2 + a + 4
(6 * 3 + 2a * 3) + -6(a + 6) = -3a + -2 + a + 4
(18 + 6a) + -6(a + 6) = -3a + -2 + a + 4

Reorder the terms:
18 + 6a + -6(6 + a) = -3a + -2 + a + 4
18 + 6a + (6 * -6 + a * -6) = -3a + -2 + a + 4
18 + 6a + (-36 + -6a) = -3a + -2 + a + 4

Reorder the terms:
18 + -36 + 6a + -6a = -3a + -2 + a + 4

Combine like terms: 18 + -36 = -18
-18 + 6a + -6a = -3a + -2 + a + 4

Combine like terms: 6a + -6a = 0
-18 + 0 = -3a + -2 + a + 4
-18 = -3a + -2 + a + 4

Reorder the terms:
-18 = -2 + 4 + -3a + a

Combine like terms: -2 + 4 = 2
-18 = 2 + -3a + a

Combine like terms: -3a + a = -2a
-18 = 2 + -2a

Solving
-18 = 2 + -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.
-18 + 2a = 2 + -2a + 2a

Combine like terms: -2a + 2a = 0
-18 + 2a = 2 + 0
-18 + 2a = 2

Add '18' to each side of the equation.
-18 + 18 + 2a = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 2a = 2 + 18
2a = 2 + 18

Combine like terms: 2 + 18 = 20
2a = 20

Divide each side by '2'.
a = 10

Simplifying
a = 10

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