-(7-7a)-(15+6a)-14=-(9-7a)+(-a)+8

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Solution for -(7-7a)-(15+6a)-14=-(9-7a)+(-a)+8 equation: 


Simplifying
-1(7 + -7a) + -1(15 + 6a) + -14 = -1(9 + -7a) + (-1a) + 8
(7 * -1 + -7a * -1) + -1(15 + 6a) + -14 = -1(9 + -7a) + (-1a) + 8
(-7 + 7a) + -1(15 + 6a) + -14 = -1(9 + -7a) + (-1a) + 8
-7 + 7a + (15 * -1 + 6a * -1) + -14 = -1(9 + -7a) + (-1a) + 8
-7 + 7a + (-15 + -6a) + -14 = -1(9 + -7a) + (-1a) + 8

Reorder the terms:
-7 + -15 + -14 + 7a + -6a = -1(9 + -7a) + (-1a) + 8

Combine like terms: -7 + -15 = -22
-22 + -14 + 7a + -6a = -1(9 + -7a) + (-1a) + 8

Combine like terms: -22 + -14 = -36
-36 + 7a + -6a = -1(9 + -7a) + (-1a) + 8

Combine like terms: 7a + -6a = 1a
-36 + 1a = -1(9 + -7a) + (-1a) + 8
-36 + 1a = (9 * -1 + -7a * -1) + (-1a) + 8
-36 + 1a = (-9 + 7a) + (-1a) + 8

Reorder the terms:
-36 + 1a = -9 + 8 + 7a + (-1a)

Combine like terms: -9 + 8 = -1
-36 + 1a = -1 + 7a + (-1a)

Combine like terms: 7a + (-1a) = 6a
-36 + 1a = -1 + 6a

Solving
-36 + 1a = -1 + 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.
-36 + 1a + -6a = -1 + 6a + -6a

Combine like terms: 1a + -6a = -5a
-36 + -5a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-36 + -5a = -1 + 0
-36 + -5a = -1

Add '36' to each side of the equation.
-36 + 36 + -5a = -1 + 36

Combine like terms: -36 + 36 = 0
0 + -5a = -1 + 36
-5a = -1 + 36

Combine like terms: -1 + 36 = 35
-5a = 35

Divide each side by '-5'.
a = -7

Simplifying
a = -7

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