-(7-8a)-(15+7a)-19=-(8-7a)+(-a)+7

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Solution for -(7-8a)-(15+7a)-19=-(8-7a)+(-a)+7 equation: 


Simplifying
-1(7 + -8a) + -1(15 + 7a) + -19 = -1(8 + -7a) + (-1a) + 7
(7 * -1 + -8a * -1) + -1(15 + 7a) + -19 = -1(8 + -7a) + (-1a) + 7
(-7 + 8a) + -1(15 + 7a) + -19 = -1(8 + -7a) + (-1a) + 7
-7 + 8a + (15 * -1 + 7a * -1) + -19 = -1(8 + -7a) + (-1a) + 7
-7 + 8a + (-15 + -7a) + -19 = -1(8 + -7a) + (-1a) + 7

Reorder the terms:
-7 + -15 + -19 + 8a + -7a = -1(8 + -7a) + (-1a) + 7

Combine like terms: -7 + -15 = -22
-22 + -19 + 8a + -7a = -1(8 + -7a) + (-1a) + 7

Combine like terms: -22 + -19 = -41
-41 + 8a + -7a = -1(8 + -7a) + (-1a) + 7

Combine like terms: 8a + -7a = 1a
-41 + 1a = -1(8 + -7a) + (-1a) + 7
-41 + 1a = (8 * -1 + -7a * -1) + (-1a) + 7
-41 + 1a = (-8 + 7a) + (-1a) + 7

Reorder the terms:
-41 + 1a = -8 + 7 + 7a + (-1a)

Combine like terms: -8 + 7 = -1
-41 + 1a = -1 + 7a + (-1a)

Combine like terms: 7a + (-1a) = 6a
-41 + 1a = -1 + 6a

Solving
-41 + 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.
-41 + 1a + -6a = -1 + 6a + -6a

Combine like terms: 1a + -6a = -5a
-41 + -5a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-41 + -5a = -1 + 0
-41 + -5a = -1

Add '41' to each side of the equation.
-41 + 41 + -5a = -1 + 41

Combine like terms: -41 + 41 = 0
0 + -5a = -1 + 41
-5a = -1 + 41

Combine like terms: -1 + 41 = 40
-5a = 40

Divide each side by '-5'.
a = -8

Simplifying
a = -8

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