-(6-5a)-(13+4a)-3=-(9-5a)+(-a)+8

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Solution for -(6-5a)-(13+4a)-3=-(9-5a)+(-a)+8 equation:


Simplifying
-1(6 + -5a) + -1(13 + 4a) + -3 = -1(9 + -5a) + (-1a) + 8
(6 * -1 + -5a * -1) + -1(13 + 4a) + -3 = -1(9 + -5a) + (-1a) + 8
(-6 + 5a) + -1(13 + 4a) + -3 = -1(9 + -5a) + (-1a) + 8
-6 + 5a + (13 * -1 + 4a * -1) + -3 = -1(9 + -5a) + (-1a) + 8
-6 + 5a + (-13 + -4a) + -3 = -1(9 + -5a) + (-1a) + 8

Reorder the terms:
-6 + -13 + -3 + 5a + -4a = -1(9 + -5a) + (-1a) + 8

Combine like terms: -6 + -13 = -19
-19 + -3 + 5a + -4a = -1(9 + -5a) + (-1a) + 8

Combine like terms: -19 + -3 = -22
-22 + 5a + -4a = -1(9 + -5a) + (-1a) + 8

Combine like terms: 5a + -4a = 1a
-22 + 1a = -1(9 + -5a) + (-1a) + 8
-22 + 1a = (9 * -1 + -5a * -1) + (-1a) + 8
-22 + 1a = (-9 + 5a) + (-1a) + 8

Reorder the terms:
-22 + 1a = -9 + 8 + 5a + (-1a)

Combine like terms: -9 + 8 = -1
-22 + 1a = -1 + 5a + (-1a)

Combine like terms: 5a + (-1a) = 4a
-22 + 1a = -1 + 4a

Solving
-22 + 1a = -1 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-22 + 1a + -4a = -1 + 4a + -4a

Combine like terms: 1a + -4a = -3a
-22 + -3a = -1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-22 + -3a = -1 + 0
-22 + -3a = -1

Add '22' to each side of the equation.
-22 + 22 + -3a = -1 + 22

Combine like terms: -22 + 22 = 0
0 + -3a = -1 + 22
-3a = -1 + 22

Combine like terms: -1 + 22 = 21
-3a = 21

Divide each side by '-3'.
a = -7

Simplifying
a = -7

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