[-2(3a-9b)-(5a+7b)]-2a-6b=

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Solution for [-2(3a-9b)-(5a+7b)]-2a-6b= equation:


Simplifying
[-2(3a + -9b) + -1(5a + 7b)] + -2a + -6b = 0
[(3a * -2 + -9b * -2) + -1(5a + 7b)] + -2a + -6b = 0
[(-6a + 18b) + -1(5a + 7b)] + -2a + -6b = 0
[-6a + 18b + (5a * -1 + 7b * -1)] + -2a + -6b = 0
[-6a + 18b + (-5a + -7b)] + -2a + -6b = 0

Reorder the terms:
[-6a + -5a + 18b + -7b] + -2a + -6b = 0

Combine like terms: -6a + -5a = -11a
[-11a + 18b + -7b] + -2a + -6b = 0

Combine like terms: 18b + -7b = 11b
[-11a + 11b] + -2a + -6b = 0

Remove brackets around [-11a + 11b]
-11a + 11b + -2a + -6b = 0

Reorder the terms:
-11a + -2a + 11b + -6b = 0

Combine like terms: -11a + -2a = -13a
-13a + 11b + -6b = 0

Combine like terms: 11b + -6b = 5b
-13a + 5b = 0

Solving
-13a + 5b = 0

Solving for variable 'a'.

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

Add '-5b' to each side of the equation.
-13a + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
-13a + 0 = 0 + -5b
-13a = 0 + -5b
Remove the zero:
-13a = -5b

Divide each side by '-13'.
a = 0.3846153846b

Simplifying
a = 0.3846153846b

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