5(3a-b)-7(5b-4a)=

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Solution for 5(3a-b)-7(5b-4a)= equation:


Simplifying
5(3a + -1b) + -7(5b + -4a) = 0
(3a * 5 + -1b * 5) + -7(5b + -4a) = 0
(15a + -5b) + -7(5b + -4a) = 0

Reorder the terms:
15a + -5b + -7(-4a + 5b) = 0
15a + -5b + (-4a * -7 + 5b * -7) = 0
15a + -5b + (28a + -35b) = 0

Reorder the terms:
15a + 28a + -5b + -35b = 0

Combine like terms: 15a + 28a = 43a
43a + -5b + -35b = 0

Combine like terms: -5b + -35b = -40b
43a + -40b = 0

Solving
43a + -40b = 0

Solving for variable 'a'.

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

Add '40b' to each side of the equation.
43a + -40b + 40b = 0 + 40b

Combine like terms: -40b + 40b = 0
43a + 0 = 0 + 40b
43a = 0 + 40b
Remove the zero:
43a = 40b

Divide each side by '43'.
a = 0.9302325581b

Simplifying
a = 0.9302325581b

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