(a-4)=3a-b

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


Simplifying
(a + -4) = 3a + -1b

Reorder the terms:
(-4 + a) = 3a + -1b

Remove parenthesis around (-4 + a)
-4 + a = 3a + -1b

Solving
-4 + a = 3a + -1b

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-4 + a + -3a = 3a + -3a + -1b

Combine like terms: a + -3a = -2a
-4 + -2a = 3a + -3a + -1b

Combine like terms: 3a + -3a = 0
-4 + -2a = 0 + -1b
-4 + -2a = -1b

Add '4' to each side of the equation.
-4 + 4 + -2a = 4 + -1b

Combine like terms: -4 + 4 = 0
0 + -2a = 4 + -1b
-2a = 4 + -1b

Divide each side by '-2'.
a = -2 + 0.5b

Simplifying
a = -2 + 0.5b

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