-(7-5a)-(15+4a)-3=-(4-5a)+(-a)+3

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Solution for -(7-5a)-(15+4a)-3=-(4-5a)+(-a)+3 equation:


Simplifying
-1(7 + -5a) + -1(15 + 4a) + -3 = -1(4 + -5a) + (-1a) + 3
(7 * -1 + -5a * -1) + -1(15 + 4a) + -3 = -1(4 + -5a) + (-1a) + 3
(-7 + 5a) + -1(15 + 4a) + -3 = -1(4 + -5a) + (-1a) + 3
-7 + 5a + (15 * -1 + 4a * -1) + -3 = -1(4 + -5a) + (-1a) + 3
-7 + 5a + (-15 + -4a) + -3 = -1(4 + -5a) + (-1a) + 3

Reorder the terms:
-7 + -15 + -3 + 5a + -4a = -1(4 + -5a) + (-1a) + 3

Combine like terms: -7 + -15 = -22
-22 + -3 + 5a + -4a = -1(4 + -5a) + (-1a) + 3

Combine like terms: -22 + -3 = -25
-25 + 5a + -4a = -1(4 + -5a) + (-1a) + 3

Combine like terms: 5a + -4a = 1a
-25 + 1a = -1(4 + -5a) + (-1a) + 3
-25 + 1a = (4 * -1 + -5a * -1) + (-1a) + 3
-25 + 1a = (-4 + 5a) + (-1a) + 3

Reorder the terms:
-25 + 1a = -4 + 3 + 5a + (-1a)

Combine like terms: -4 + 3 = -1
-25 + 1a = -1 + 5a + (-1a)

Combine like terms: 5a + (-1a) = 4a
-25 + 1a = -1 + 4a

Solving
-25 + 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.
-25 + 1a + -4a = -1 + 4a + -4a

Combine like terms: 1a + -4a = -3a
-25 + -3a = -1 + 4a + -4a

Combine like terms: 4a + -4a = 0
-25 + -3a = -1 + 0
-25 + -3a = -1

Add '25' to each side of the equation.
-25 + 25 + -3a = -1 + 25

Combine like terms: -25 + 25 = 0
0 + -3a = -1 + 25
-3a = -1 + 25

Combine like terms: -1 + 25 = 24
-3a = 24

Divide each side by '-3'.
a = -8

Simplifying
a = -8

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