5(3b-2a)+6(2a-b)=

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Solution for 5(3b-2a)+6(2a-b)= equation:


Simplifying
5(3b + -2a) + 6(2a + -1b) = 0

Reorder the terms:
5(-2a + 3b) + 6(2a + -1b) = 0
(-2a * 5 + 3b * 5) + 6(2a + -1b) = 0
(-10a + 15b) + 6(2a + -1b) = 0
-10a + 15b + (2a * 6 + -1b * 6) = 0
-10a + 15b + (12a + -6b) = 0

Reorder the terms:
-10a + 12a + 15b + -6b = 0

Combine like terms: -10a + 12a = 2a
2a + 15b + -6b = 0

Combine like terms: 15b + -6b = 9b
2a + 9b = 0

Solving
2a + 9b = 0

Solving for variable 'a'.

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

Add '-9b' to each side of the equation.
2a + 9b + -9b = 0 + -9b

Combine like terms: 9b + -9b = 0
2a + 0 = 0 + -9b
2a = 0 + -9b
Remove the zero:
2a = -9b

Divide each side by '2'.
a = -4.5b

Simplifying
a = -4.5b

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