5a-16+7=5a+10-3a-19

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Solution for 5a-16+7=5a+10-3a-19 equation:


Simplifying
5a + -16 + 7 = 5a + 10 + -3a + -19

Reorder the terms:
-16 + 7 + 5a = 5a + 10 + -3a + -19

Combine like terms: -16 + 7 = -9
-9 + 5a = 5a + 10 + -3a + -19

Reorder the terms:
-9 + 5a = 10 + -19 + 5a + -3a

Combine like terms: 10 + -19 = -9
-9 + 5a = -9 + 5a + -3a

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

Add '9' to each side of the equation.
-9 + 9 + 5a = -9 + 9 + 2a

Combine like terms: -9 + 9 = 0
0 + 5a = -9 + 9 + 2a
5a = -9 + 9 + 2a

Combine like terms: -9 + 9 = 0
5a = 0 + 2a
5a = 2a

Solving
5a = 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.
5a + -2a = 2a + -2a

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

Combine like terms: 2a + -2a = 0
3a = 0

Divide each side by '3'.
a = 0

Simplifying
a = 0

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