2a+9=4a-19

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Solution for 2a+9=4a-19 equation:


Simplifying
2a + 9 = 4a + -19

Reorder the terms:
9 + 2a = 4a + -19

Reorder the terms:
9 + 2a = -19 + 4a

Solving
9 + 2a = -19 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
9 + 2a + -4a = -19 + 4a + -4a

Combine like terms: 2a + -4a = -2a
9 + -2a = -19 + 4a + -4a

Combine like terms: 4a + -4a = 0
9 + -2a = -19 + 0
9 + -2a = -19

Add '-9' to each side of the equation.
9 + -9 + -2a = -19 + -9

Combine like terms: 9 + -9 = 0
0 + -2a = -19 + -9
-2a = -19 + -9

Combine like terms: -19 + -9 = -28
-2a = -28

Divide each side by '-2'.
a = 14

Simplifying
a = 14

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