(2a+5b)+(5a+2b)+(6a-8b)=

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Solution for (2a+5b)+(5a+2b)+(6a-8b)= equation: 


Simplifying
(2a + 5b) + (5a + 2b) + (6a + -8b) = 0

Remove parenthesis around (2a + 5b)
2a + 5b + (5a + 2b) + (6a + -8b) = 0

Remove parenthesis around (5a + 2b)
2a + 5b + 5a + 2b + (6a + -8b) = 0

Remove parenthesis around (6a + -8b)
2a + 5b + 5a + 2b + 6a + -8b = 0

Reorder the terms:
2a + 5a + 6a + 5b + 2b + -8b = 0

Combine like terms: 2a + 5a = 7a
7a + 6a + 5b + 2b + -8b = 0

Combine like terms: 7a + 6a = 13a
13a + 5b + 2b + -8b = 0

Combine like terms: 5b + 2b = 7b
13a + 7b + -8b = 0

Combine like terms: 7b + -8b = -1b
13a + -1b = 0

Solving
13a + -1b = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
13a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
13a + 0 = 0 + b
13a = 0 + b
Remove the zero:
13a = b

Divide each side by '13'.
a = 0.07692307692b

Simplifying
a = 0.07692307692b

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