-(8+9a)-(13+8a)-1=-(7-5a)+(-a)+6

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Solution for -(8+9a)-(13+8a)-1=-(7-5a)+(-a)+6 equation:


Simplifying
-1(8 + 9a) + -1(13 + 8a) + -1 = -1(7 + -5a) + (-1a) + 6
(8 * -1 + 9a * -1) + -1(13 + 8a) + -1 = -1(7 + -5a) + (-1a) + 6
(-8 + -9a) + -1(13 + 8a) + -1 = -1(7 + -5a) + (-1a) + 6
-8 + -9a + (13 * -1 + 8a * -1) + -1 = -1(7 + -5a) + (-1a) + 6
-8 + -9a + (-13 + -8a) + -1 = -1(7 + -5a) + (-1a) + 6

Reorder the terms:
-8 + -13 + -1 + -9a + -8a = -1(7 + -5a) + (-1a) + 6

Combine like terms: -8 + -13 = -21
-21 + -1 + -9a + -8a = -1(7 + -5a) + (-1a) + 6

Combine like terms: -21 + -1 = -22
-22 + -9a + -8a = -1(7 + -5a) + (-1a) + 6

Combine like terms: -9a + -8a = -17a
-22 + -17a = -1(7 + -5a) + (-1a) + 6
-22 + -17a = (7 * -1 + -5a * -1) + (-1a) + 6
-22 + -17a = (-7 + 5a) + (-1a) + 6

Reorder the terms:
-22 + -17a = -7 + 6 + 5a + (-1a)

Combine like terms: -7 + 6 = -1
-22 + -17a = -1 + 5a + (-1a)

Combine like terms: 5a + (-1a) = 4a
-22 + -17a = -1 + 4a

Solving
-22 + -17a = -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 + -17a + -4a = -1 + 4a + -4a

Combine like terms: -17a + -4a = -21a
-22 + -21a = -1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-22 + -21a = -1 + 0
-22 + -21a = -1

Add '22' to each side of the equation.
-22 + 22 + -21a = -1 + 22

Combine like terms: -22 + 22 = 0
0 + -21a = -1 + 22
-21a = -1 + 22

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

Divide each side by '-21'.
a = -1

Simplifying
a = -1

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