3a+22=7a+14

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Solution for 3a+22=7a+14 equation:


Simplifying
3a + 22 = 7a + 14

Reorder the terms:
22 + 3a = 7a + 14

Reorder the terms:
22 + 3a = 14 + 7a

Solving
22 + 3a = 14 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
22 + 3a + -7a = 14 + 7a + -7a

Combine like terms: 3a + -7a = -4a
22 + -4a = 14 + 7a + -7a

Combine like terms: 7a + -7a = 0
22 + -4a = 14 + 0
22 + -4a = 14

Add '-22' to each side of the equation.
22 + -22 + -4a = 14 + -22

Combine like terms: 22 + -22 = 0
0 + -4a = 14 + -22
-4a = 14 + -22

Combine like terms: 14 + -22 = -8
-4a = -8

Divide each side by '-4'.
a = 2

Simplifying
a = 2

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