(4a-b)+(4b-a)=180

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Solution for (4a-b)+(4b-a)=180 equation:


Simplifying
(4a + -1b) + (4b + -1a) = 180

Remove parenthesis around (4a + -1b)
4a + -1b + (4b + -1a) = 180

Reorder the terms:
4a + -1b + (-1a + 4b) = 180

Remove parenthesis around (-1a + 4b)
4a + -1b + -1a + 4b = 180

Reorder the terms:
4a + -1a + -1b + 4b = 180

Combine like terms: 4a + -1a = 3a
3a + -1b + 4b = 180

Combine like terms: -1b + 4b = 3b
3a + 3b = 180

Solving
3a + 3b = 180

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
3a + 3b + -3b = 180 + -3b

Combine like terms: 3b + -3b = 0
3a + 0 = 180 + -3b
3a = 180 + -3b

Divide each side by '3'.
a = 60 + -1b

Simplifying
a = 60 + -1b

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