-(7-8a)-(4+7a)-17=-(7-5a)+(-a)+6

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Solution for -(7-8a)-(4+7a)-17=-(7-5a)+(-a)+6 equation:


Simplifying
-1(7 + -8a) + -1(4 + 7a) + -17 = -1(7 + -5a) + (-1a) + 6
(7 * -1 + -8a * -1) + -1(4 + 7a) + -17 = -1(7 + -5a) + (-1a) + 6
(-7 + 8a) + -1(4 + 7a) + -17 = -1(7 + -5a) + (-1a) + 6
-7 + 8a + (4 * -1 + 7a * -1) + -17 = -1(7 + -5a) + (-1a) + 6
-7 + 8a + (-4 + -7a) + -17 = -1(7 + -5a) + (-1a) + 6

Reorder the terms:
-7 + -4 + -17 + 8a + -7a = -1(7 + -5a) + (-1a) + 6

Combine like terms: -7 + -4 = -11
-11 + -17 + 8a + -7a = -1(7 + -5a) + (-1a) + 6

Combine like terms: -11 + -17 = -28
-28 + 8a + -7a = -1(7 + -5a) + (-1a) + 6

Combine like terms: 8a + -7a = 1a
-28 + 1a = -1(7 + -5a) + (-1a) + 6
-28 + 1a = (7 * -1 + -5a * -1) + (-1a) + 6
-28 + 1a = (-7 + 5a) + (-1a) + 6

Reorder the terms:
-28 + 1a = -7 + 6 + 5a + (-1a)

Combine like terms: -7 + 6 = -1
-28 + 1a = -1 + 5a + (-1a)

Combine like terms: 5a + (-1a) = 4a
-28 + 1a = -1 + 4a

Solving
-28 + 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.
-28 + 1a + -4a = -1 + 4a + -4a

Combine like terms: 1a + -4a = -3a
-28 + -3a = -1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-28 + -3a = -1 + 0
-28 + -3a = -1

Add '28' to each side of the equation.
-28 + 28 + -3a = -1 + 28

Combine like terms: -28 + 28 = 0
0 + -3a = -1 + 28
-3a = -1 + 28

Combine like terms: -1 + 28 = 27
-3a = 27

Divide each side by '-3'.
a = -9

Simplifying
a = -9

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