7a-14=5a+42

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Solution for 7a-14=5a+42 equation:


Simplifying
7a + -14 = 5a + 42

Reorder the terms:
-14 + 7a = 5a + 42

Reorder the terms:
-14 + 7a = 42 + 5a

Solving
-14 + 7a = 42 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-14 + 7a + -5a = 42 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-14 + 2a = 42 + 5a + -5a

Combine like terms: 5a + -5a = 0
-14 + 2a = 42 + 0
-14 + 2a = 42

Add '14' to each side of the equation.
-14 + 14 + 2a = 42 + 14

Combine like terms: -14 + 14 = 0
0 + 2a = 42 + 14
2a = 42 + 14

Combine like terms: 42 + 14 = 56
2a = 56

Divide each side by '2'.
a = 28

Simplifying
a = 28

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