2(4a-b)-5(4b-2a)=

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


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

Reorder the terms:
8a + -2b + -5(-2a + 4b) = 0
8a + -2b + (-2a * -5 + 4b * -5) = 0
8a + -2b + (10a + -20b) = 0

Reorder the terms:
8a + 10a + -2b + -20b = 0

Combine like terms: 8a + 10a = 18a
18a + -2b + -20b = 0

Combine like terms: -2b + -20b = -22b
18a + -22b = 0

Solving
18a + -22b = 0

Solving for variable 'a'.

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

Add '22b' to each side of the equation.
18a + -22b + 22b = 0 + 22b

Combine like terms: -22b + 22b = 0
18a + 0 = 0 + 22b
18a = 0 + 22b
Remove the zero:
18a = 22b

Divide each side by '18'.
a = 1.222222222b

Simplifying
a = 1.222222222b

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