8(2a-b)-5(3b-6a)=

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Solution for 8(2a-b)-5(3b-6a)= equation:


Simplifying
8(2a + -1b) + -5(3b + -6a) = 0
(2a * 8 + -1b * 8) + -5(3b + -6a) = 0
(16a + -8b) + -5(3b + -6a) = 0

Reorder the terms:
16a + -8b + -5(-6a + 3b) = 0
16a + -8b + (-6a * -5 + 3b * -5) = 0
16a + -8b + (30a + -15b) = 0

Reorder the terms:
16a + 30a + -8b + -15b = 0

Combine like terms: 16a + 30a = 46a
46a + -8b + -15b = 0

Combine like terms: -8b + -15b = -23b
46a + -23b = 0

Solving
46a + -23b = 0

Solving for variable 'a'.

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

Add '23b' to each side of the equation.
46a + -23b + 23b = 0 + 23b

Combine like terms: -23b + 23b = 0
46a + 0 = 0 + 23b
46a = 0 + 23b
Remove the zero:
46a = 23b

Divide each side by '46'.
a = 0.5b

Simplifying
a = 0.5b

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