-(9-5a)-(14+4a)-2=(7-5a)+(-a)+6

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Solution for -(9-5a)-(14+4a)-2=(7-5a)+(-a)+6 equation: 


Simplifying
-1(9 + -5a) + -1(14 + 4a) + -2 = (7 + -5a) + (-1a) + 6
(9 * -1 + -5a * -1) + -1(14 + 4a) + -2 = (7 + -5a) + (-1a) + 6
(-9 + 5a) + -1(14 + 4a) + -2 = (7 + -5a) + (-1a) + 6
-9 + 5a + (14 * -1 + 4a * -1) + -2 = (7 + -5a) + (-1a) + 6
-9 + 5a + (-14 + -4a) + -2 = (7 + -5a) + (-1a) + 6

Reorder the terms:
-9 + -14 + -2 + 5a + -4a = (7 + -5a) + (-1a) + 6

Combine like terms: -9 + -14 = -23
-23 + -2 + 5a + -4a = (7 + -5a) + (-1a) + 6

Combine like terms: -23 + -2 = -25
-25 + 5a + -4a = (7 + -5a) + (-1a) + 6

Combine like terms: 5a + -4a = 1a
-25 + 1a = (7 + -5a) + (-1a) + 6

Remove parenthesis around (7 + -5a)
-25 + 1a = 7 + -5a + (-1a) + 6

Reorder the terms:
-25 + 1a = 7 + 6 + -5a + (-1a)

Combine like terms: 7 + 6 = 13
-25 + 1a = 13 + -5a + (-1a)

Combine like terms: -5a + (-1a) = -6a
-25 + 1a = 13 + -6a

Solving
-25 + 1a = 13 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-25 + 1a + 6a = 13 + -6a + 6a

Combine like terms: 1a + 6a = 7a
-25 + 7a = 13 + -6a + 6a

Combine like terms: -6a + 6a = 0
-25 + 7a = 13 + 0
-25 + 7a = 13

Add '25' to each side of the equation.
-25 + 25 + 7a = 13 + 25

Combine like terms: -25 + 25 = 0
0 + 7a = 13 + 25
7a = 13 + 25

Combine like terms: 13 + 25 = 38
7a = 38

Divide each side by '7'.
a = 5.428571429

Simplifying
a = 5.428571429

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