2a+9=-3a+14

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Solution for 2a+9=-3a+14 equation:


Simplifying
2a + 9 = -3a + 14

Reorder the terms:
9 + 2a = -3a + 14

Reorder the terms:
9 + 2a = 14 + -3a

Solving
9 + 2a = 14 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
9 + 2a + 3a = 14 + -3a + 3a

Combine like terms: 2a + 3a = 5a
9 + 5a = 14 + -3a + 3a

Combine like terms: -3a + 3a = 0
9 + 5a = 14 + 0
9 + 5a = 14

Add '-9' to each side of the equation.
9 + -9 + 5a = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 5a = 14 + -9
5a = 14 + -9

Combine like terms: 14 + -9 = 5
5a = 5

Divide each side by '5'.
a = 1

Simplifying
a = 1

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