7a-6g+12=3a-32

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Solution for 7a-6g+12=3a-32 equation:


Simplifying
7a + -6g + 12 = 3a + -32

Reorder the terms:
12 + 7a + -6g = 3a + -32

Reorder the terms:
12 + 7a + -6g = -32 + 3a

Solving
12 + 7a + -6g = -32 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
12 + 7a + -3a + -6g = -32 + 3a + -3a

Combine like terms: 7a + -3a = 4a
12 + 4a + -6g = -32 + 3a + -3a

Combine like terms: 3a + -3a = 0
12 + 4a + -6g = -32 + 0
12 + 4a + -6g = -32

Add '-12' to each side of the equation.
12 + 4a + -12 + -6g = -32 + -12

Reorder the terms:
12 + -12 + 4a + -6g = -32 + -12

Combine like terms: 12 + -12 = 0
0 + 4a + -6g = -32 + -12
4a + -6g = -32 + -12

Combine like terms: -32 + -12 = -44
4a + -6g = -44

Add '6g' to each side of the equation.
4a + -6g + 6g = -44 + 6g

Combine like terms: -6g + 6g = 0
4a + 0 = -44 + 6g
4a = -44 + 6g

Divide each side by '4'.
a = -11 + 1.5g

Simplifying
a = -11 + 1.5g

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