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

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


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

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

Reorder the terms:
18 + 3a + -2(-6 + a) = 6
18 + 3a + (-6 * -2 + a * -2) = 6
18 + 3a + (12 + -2a) = 6

Reorder the terms:
18 + 12 + 3a + -2a = 6

Combine like terms: 18 + 12 = 30
30 + 3a + -2a = 6

Combine like terms: 3a + -2a = 1a
30 + 1a = 6

Solving
30 + 1a = 6

Solving for variable 'a'.

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

Add '-30' to each side of the equation.
30 + -30 + 1a = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 1a = 6 + -30
1a = 6 + -30

Combine like terms: 6 + -30 = -24
1a = -24

Divide each side by '1'.
a = -24

Simplifying
a = -24

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