6(6a-b)-7(4b-4a)=0

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Solution for 6(6a-b)-7(4b-4a)=0 equation:


Simplifying
6(6a + -1b) + -7(4b + -4a) = 0
(6a * 6 + -1b * 6) + -7(4b + -4a) = 0
(36a + -6b) + -7(4b + -4a) = 0

Reorder the terms:
36a + -6b + -7(-4a + 4b) = 0
36a + -6b + (-4a * -7 + 4b * -7) = 0
36a + -6b + (28a + -28b) = 0

Reorder the terms:
36a + 28a + -6b + -28b = 0

Combine like terms: 36a + 28a = 64a
64a + -6b + -28b = 0

Combine like terms: -6b + -28b = -34b
64a + -34b = 0

Solving
64a + -34b = 0

Solving for variable 'a'.

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

Add '34b' to each side of the equation.
64a + -34b + 34b = 0 + 34b

Combine like terms: -34b + 34b = 0
64a + 0 = 0 + 34b
64a = 0 + 34b
Remove the zero:
64a = 34b

Divide each side by '64'.
a = 0.53125b

Simplifying
a = 0.53125b

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