2a-(5b-2a)+(4a-5b)+(7a-8a)=

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Solution for 2a-(5b-2a)+(4a-5b)+(7a-8a)= equation: 


Simplifying
2a + -1(5b + -2a) + (4a + -5b) + (7a + -8a) = 0

Reorder the terms:
2a + -1(-2a + 5b) + (4a + -5b) + (7a + -8a) = 0
2a + (-2a * -1 + 5b * -1) + (4a + -5b) + (7a + -8a) = 0
2a + (2a + -5b) + (4a + -5b) + (7a + -8a) = 0

Remove parenthesis around (4a + -5b)
2a + 2a + -5b + 4a + -5b + (7a + -8a) = 0

Combine like terms: 7a + -8a = -1a
2a + 2a + -5b + 4a + -5b + (-1a) = 0
2a + 2a + -5b + 4a + -5b + (-1a) = 0

Reorder the terms:
2a + 2a + 4a + (-1a) + -5b + -5b = 0

Combine like terms: 2a + 2a = 4a
4a + 4a + (-1a) + -5b + -5b = 0

Combine like terms: 4a + 4a = 8a
8a + (-1a) + -5b + -5b = 0

Combine like terms: 8a + (-1a) = 7a
7a + -5b + -5b = 0

Combine like terms: -5b + -5b = -10b
7a + -10b = 0

Solving
7a + -10b = 0

Solving for variable 'a'.

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

Add '10b' to each side of the equation.
7a + -10b + 10b = 0 + 10b

Combine like terms: -10b + 10b = 0
7a + 0 = 0 + 10b
7a = 0 + 10b
Remove the zero:
7a = 10b

Divide each side by '7'.
a = 1.428571429b

Simplifying
a = 1.428571429b

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