37+12+14a-9=6a+11-14+5a

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Solution for 37+12+14a-9=6a+11-14+5a equation:


Simplifying
37 + 12 + 14a + -9 = 6a + 11 + -14 + 5a

Reorder the terms:
37 + 12 + -9 + 14a = 6a + 11 + -14 + 5a

Combine like terms: 37 + 12 = 49
49 + -9 + 14a = 6a + 11 + -14 + 5a

Combine like terms: 49 + -9 = 40
40 + 14a = 6a + 11 + -14 + 5a

Reorder the terms:
40 + 14a = 11 + -14 + 6a + 5a

Combine like terms: 11 + -14 = -3
40 + 14a = -3 + 6a + 5a

Combine like terms: 6a + 5a = 11a
40 + 14a = -3 + 11a

Solving
40 + 14a = -3 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
40 + 14a + -11a = -3 + 11a + -11a

Combine like terms: 14a + -11a = 3a
40 + 3a = -3 + 11a + -11a

Combine like terms: 11a + -11a = 0
40 + 3a = -3 + 0
40 + 3a = -3

Add '-40' to each side of the equation.
40 + -40 + 3a = -3 + -40

Combine like terms: 40 + -40 = 0
0 + 3a = -3 + -40
3a = -3 + -40

Combine like terms: -3 + -40 = -43
3a = -43

Divide each side by '3'.
a = -14.33333333

Simplifying
a = -14.33333333

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