(5a+9)=(6a-1)

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Solution for (5a+9)=(6a-1) equation:


Simplifying
(5a + 9) = (6a + -1)

Reorder the terms:
(9 + 5a) = (6a + -1)

Remove parenthesis around (9 + 5a)
9 + 5a = (6a + -1)

Reorder the terms:
9 + 5a = (-1 + 6a)

Remove parenthesis around (-1 + 6a)
9 + 5a = -1 + 6a

Solving
9 + 5a = -1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
9 + 5a + -6a = -1 + 6a + -6a

Combine like terms: 5a + -6a = -1a
9 + -1a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
9 + -1a = -1 + 0
9 + -1a = -1

Add '-9' to each side of the equation.
9 + -9 + -1a = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = -1 + -9
-1a = -1 + -9

Combine like terms: -1 + -9 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10

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