a-3d+a-d+a+d+a-3d=12

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Solution for a-3d+a-d+a+d+a-3d=12 equation: 


Simplifying
a + -3d + a + -1d + a + d + a + -3d = 12

Reorder the terms:
a + a + a + a + -3d + -1d + d + -3d = 12

Combine like terms: a + a = 2a
2a + a + a + -3d + -1d + d + -3d = 12

Combine like terms: 2a + a = 3a
3a + a + -3d + -1d + d + -3d = 12

Combine like terms: 3a + a = 4a
4a + -3d + -1d + d + -3d = 12

Combine like terms: -3d + -1d = -4d
4a + -4d + d + -3d = 12

Combine like terms: -4d + d = -3d
4a + -3d + -3d = 12

Combine like terms: -3d + -3d = -6d
4a + -6d = 12

Solving
4a + -6d = 12

Solving for variable 'a'.

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

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

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

Divide each side by '4'.
a = 3 + 1.5d

Simplifying
a = 3 + 1.5d

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