3a+1=a-7

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Solution for 3a+1=a-7 equation:


Simplifying
3a + 1 = a + -7

Reorder the terms:
1 + 3a = a + -7

Reorder the terms:
1 + 3a = -7 + a

Solving
1 + 3a = -7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
1 + 3a + -1a = -7 + a + -1a

Combine like terms: 3a + -1a = 2a
1 + 2a = -7 + a + -1a

Combine like terms: a + -1a = 0
1 + 2a = -7 + 0
1 + 2a = -7

Add '-1' to each side of the equation.
1 + -1 + 2a = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = -7 + -1
2a = -7 + -1

Combine like terms: -7 + -1 = -8
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4

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