-(9-7a)-(15+6a)-9=-(3-6a)+(-a)+2

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Solution for -(9-7a)-(15+6a)-9=-(3-6a)+(-a)+2 equation:


Simplifying
-1(9 + -7a) + -1(15 + 6a) + -9 = -1(3 + -6a) + (-1a) + 2
(9 * -1 + -7a * -1) + -1(15 + 6a) + -9 = -1(3 + -6a) + (-1a) + 2
(-9 + 7a) + -1(15 + 6a) + -9 = -1(3 + -6a) + (-1a) + 2
-9 + 7a + (15 * -1 + 6a * -1) + -9 = -1(3 + -6a) + (-1a) + 2
-9 + 7a + (-15 + -6a) + -9 = -1(3 + -6a) + (-1a) + 2

Reorder the terms:
-9 + -15 + -9 + 7a + -6a = -1(3 + -6a) + (-1a) + 2

Combine like terms: -9 + -15 = -24
-24 + -9 + 7a + -6a = -1(3 + -6a) + (-1a) + 2

Combine like terms: -24 + -9 = -33
-33 + 7a + -6a = -1(3 + -6a) + (-1a) + 2

Combine like terms: 7a + -6a = 1a
-33 + 1a = -1(3 + -6a) + (-1a) + 2
-33 + 1a = (3 * -1 + -6a * -1) + (-1a) + 2
-33 + 1a = (-3 + 6a) + (-1a) + 2

Reorder the terms:
-33 + 1a = -3 + 2 + 6a + (-1a)

Combine like terms: -3 + 2 = -1
-33 + 1a = -1 + 6a + (-1a)

Combine like terms: 6a + (-1a) = 5a
-33 + 1a = -1 + 5a

Solving
-33 + 1a = -1 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-33 + 1a + -5a = -1 + 5a + -5a

Combine like terms: 1a + -5a = -4a
-33 + -4a = -1 + 5a + -5a

Combine like terms: 5a + -5a = 0
-33 + -4a = -1 + 0
-33 + -4a = -1

Add '33' to each side of the equation.
-33 + 33 + -4a = -1 + 33

Combine like terms: -33 + 33 = 0
0 + -4a = -1 + 33
-4a = -1 + 33

Combine like terms: -1 + 33 = 32
-4a = 32

Divide each side by '-4'.
a = -8

Simplifying
a = -8

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