3a-22=-2a-7

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Solution for 3a-22=-2a-7 equation:


Simplifying
3a + -22 = -2a + -7

Reorder the terms:
-22 + 3a = -2a + -7

Reorder the terms:
-22 + 3a = -7 + -2a

Solving
-22 + 3a = -7 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-22 + 3a + 2a = -7 + -2a + 2a

Combine like terms: 3a + 2a = 5a
-22 + 5a = -7 + -2a + 2a

Combine like terms: -2a + 2a = 0
-22 + 5a = -7 + 0
-22 + 5a = -7

Add '22' to each side of the equation.
-22 + 22 + 5a = -7 + 22

Combine like terms: -22 + 22 = 0
0 + 5a = -7 + 22
5a = -7 + 22

Combine like terms: -7 + 22 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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