2a+9=6a-15

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Solution for 2a+9=6a-15 equation:


Simplifying
2a + 9 = 6a + -15

Reorder the terms:
9 + 2a = 6a + -15

Reorder the terms:
9 + 2a = -15 + 6a

Solving
9 + 2a = -15 + 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 + 2a + -6a = -15 + 6a + -6a

Combine like terms: 2a + -6a = -4a
9 + -4a = -15 + 6a + -6a

Combine like terms: 6a + -6a = 0
9 + -4a = -15 + 0
9 + -4a = -15

Add '-9' to each side of the equation.
9 + -9 + -4a = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -4a = -15 + -9
-4a = -15 + -9

Combine like terms: -15 + -9 = -24
-4a = -24

Divide each side by '-4'.
a = 6

Simplifying
a = 6

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