A+2(3a-6)=30-2(a+3)

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Solution for A+2(3a-6)=30-2(a+3) equation:


Simplifying
A + 2(3a + -6) = 30 + -2(a + 3)

Reorder the terms:
A + 2(-6 + 3a) = 30 + -2(a + 3)
A + (-6 * 2 + 3a * 2) = 30 + -2(a + 3)
A + (-12 + 6a) = 30 + -2(a + 3)

Reorder the terms:
-12 + A + 6a = 30 + -2(a + 3)

Reorder the terms:
-12 + A + 6a = 30 + -2(3 + a)
-12 + A + 6a = 30 + (3 * -2 + a * -2)
-12 + A + 6a = 30 + (-6 + -2a)

Combine like terms: 30 + -6 = 24
-12 + A + 6a = 24 + -2a

Solving
-12 + A + 6a = 24 + -2a

Solving for variable 'A'.

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

Add '12' to each side of the equation.
-12 + A + 12 + 6a = 24 + 12 + -2a

Reorder the terms:
-12 + 12 + A + 6a = 24 + 12 + -2a

Combine like terms: -12 + 12 = 0
0 + A + 6a = 24 + 12 + -2a
A + 6a = 24 + 12 + -2a

Combine like terms: 24 + 12 = 36
A + 6a = 36 + -2a

Add '-6a' to each side of the equation.
A + 6a + -6a = 36 + -2a + -6a

Combine like terms: 6a + -6a = 0
A + 0 = 36 + -2a + -6a
A = 36 + -2a + -6a

Combine like terms: -2a + -6a = -8a
A = 36 + -8a

Simplifying
A = 36 + -8a

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