3a+4b-5a+6b=0

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Solution for 3a+4b-5a+6b=0 equation:


Simplifying
3a + 4b + -5a + 6b = 0

Reorder the terms:
3a + -5a + 4b + 6b = 0

Combine like terms: 3a + -5a = -2a
-2a + 4b + 6b = 0

Combine like terms: 4b + 6b = 10b
-2a + 10b = 0

Solving
-2a + 10b = 0

Solving for variable 'a'.

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

Add '-10b' to each side of the equation.
-2a + 10b + -10b = 0 + -10b

Combine like terms: 10b + -10b = 0
-2a + 0 = 0 + -10b
-2a = 0 + -10b
Remove the zero:
-2a = -10b

Divide each side by '-2'.
a = 5b

Simplifying
a = 5b

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