8a-15a-30a-51a=53a+31a-172

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Solution for 8a-15a-30a-51a=53a+31a-172 equation: 


Simplifying
8a + -15a + -30a + -51a = 53a + 31a + -172

Combine like terms: 8a + -15a = -7a
-7a + -30a + -51a = 53a + 31a + -172

Combine like terms: -7a + -30a = -37a
-37a + -51a = 53a + 31a + -172

Combine like terms: -37a + -51a = -88a
-88a = 53a + 31a + -172

Reorder the terms:
-88a = -172 + 53a + 31a

Combine like terms: 53a + 31a = 84a
-88a = -172 + 84a

Solving
-88a = -172 + 84a

Solving for variable 'a'.

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

Add '-84a' to each side of the equation.
-88a + -84a = -172 + 84a + -84a

Combine like terms: -88a + -84a = -172a
-172a = -172 + 84a + -84a

Combine like terms: 84a + -84a = 0
-172a = -172 + 0
-172a = -172

Divide each side by '-172'.
a = 1

Simplifying
a = 1

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