6a+37=9-a

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Solution for 6a+37=9-a equation:


Simplifying
6a + 37 = 9 + -1a

Reorder the terms:
37 + 6a = 9 + -1a

Solving
37 + 6a = 9 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
37 + 6a + a = 9 + -1a + a

Combine like terms: 6a + a = 7a
37 + 7a = 9 + -1a + a

Combine like terms: -1a + a = 0
37 + 7a = 9 + 0
37 + 7a = 9

Add '-37' to each side of the equation.
37 + -37 + 7a = 9 + -37

Combine like terms: 37 + -37 = 0
0 + 7a = 9 + -37
7a = 9 + -37

Combine like terms: 9 + -37 = -28
7a = -28

Divide each side by '7'.
a = -4

Simplifying
a = -4

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