(a+3b)+(3a-b)=

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


Simplifying
(a + 3b) + (3a + -1b) = 0

Remove parenthesis around (a + 3b)
a + 3b + (3a + -1b) = 0

Remove parenthesis around (3a + -1b)
a + 3b + 3a + -1b = 0

Reorder the terms:
a + 3a + 3b + -1b = 0

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

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

Solving
4a + 2b = 0

Solving for variable 'a'.

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

Add '-2b' to each side of the equation.
4a + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
4a + 0 = 0 + -2b
4a = 0 + -2b
Remove the zero:
4a = -2b

Divide each side by '4'.
a = -0.5b

Simplifying
a = -0.5b

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