(2a+8b)+(4a-2b)=0

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Solution for (2a+8b)+(4a-2b)=0 equation:


Simplifying
(2a + 8b) + (4a + -2b) = 0

Remove parenthesis around (2a + 8b)
2a + 8b + (4a + -2b) = 0

Remove parenthesis around (4a + -2b)
2a + 8b + 4a + -2b = 0

Reorder the terms:
2a + 4a + 8b + -2b = 0

Combine like terms: 2a + 4a = 6a
6a + 8b + -2b = 0

Combine like terms: 8b + -2b = 6b
6a + 6b = 0

Solving
6a + 6b = 0

Solving for variable 'a'.

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

Add '-6b' to each side of the equation.
6a + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
6a + 0 = 0 + -6b
6a = 0 + -6b
Remove the zero:
6a = -6b

Divide each side by '6'.
a = -1b

Simplifying
a = -1b

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