5a-2(2a-3+5(2-1a-4(3a-3)-2)-2)+3=

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Solution for 5a-2(2a-3+5(2-1a-4(3a-3)-2)-2)+3= equation: 


Simplifying
5a + -2(2a + -3 + 5(2 + -1a + -4(3a + -3) + -2) + -2) + 3 = 0

Reorder the terms:
5a + -2(2a + -3 + 5(2 + -1a + -4(-3 + 3a) + -2) + -2) + 3 = 0
5a + -2(2a + -3 + 5(2 + -1a + (-3 * -4 + 3a * -4) + -2) + -2) + 3 = 0
5a + -2(2a + -3 + 5(2 + -1a + (12 + -12a) + -2) + -2) + 3 = 0

Reorder the terms:
5a + -2(2a + -3 + 5(2 + 12 + -2 + -1a + -12a) + -2) + 3 = 0

Combine like terms: 2 + 12 = 14
5a + -2(2a + -3 + 5(14 + -2 + -1a + -12a) + -2) + 3 = 0

Combine like terms: 14 + -2 = 12
5a + -2(2a + -3 + 5(12 + -1a + -12a) + -2) + 3 = 0

Combine like terms: -1a + -12a = -13a
5a + -2(2a + -3 + 5(12 + -13a) + -2) + 3 = 0
5a + -2(2a + -3 + (12 * 5 + -13a * 5) + -2) + 3 = 0
5a + -2(2a + -3 + (60 + -65a) + -2) + 3 = 0

Reorder the terms:
5a + -2(-3 + 60 + -2 + 2a + -65a) + 3 = 0

Combine like terms: -3 + 60 = 57
5a + -2(57 + -2 + 2a + -65a) + 3 = 0

Combine like terms: 57 + -2 = 55
5a + -2(55 + 2a + -65a) + 3 = 0

Combine like terms: 2a + -65a = -63a
5a + -2(55 + -63a) + 3 = 0
5a + (55 * -2 + -63a * -2) + 3 = 0
5a + (-110 + 126a) + 3 = 0

Reorder the terms:
-110 + 3 + 5a + 126a = 0

Combine like terms: -110 + 3 = -107
-107 + 5a + 126a = 0

Combine like terms: 5a + 126a = 131a
-107 + 131a = 0

Solving
-107 + 131a = 0

Solving for variable 'a'.

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

Add '107' to each side of the equation.
-107 + 107 + 131a = 0 + 107

Combine like terms: -107 + 107 = 0
0 + 131a = 0 + 107
131a = 0 + 107

Combine like terms: 0 + 107 = 107
131a = 107

Divide each side by '131'.
a = 0.8167938931

Simplifying
a = 0.8167938931

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