16a-4=38a+84

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Solution for 16a-4=38a+84 equation:


Simplifying
16a + -4 = 38a + 84

Reorder the terms:
-4 + 16a = 38a + 84

Reorder the terms:
-4 + 16a = 84 + 38a

Solving
-4 + 16a = 84 + 38a

Solving for variable 'a'.

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

Add '-38a' to each side of the equation.
-4 + 16a + -38a = 84 + 38a + -38a

Combine like terms: 16a + -38a = -22a
-4 + -22a = 84 + 38a + -38a

Combine like terms: 38a + -38a = 0
-4 + -22a = 84 + 0
-4 + -22a = 84

Add '4' to each side of the equation.
-4 + 4 + -22a = 84 + 4

Combine like terms: -4 + 4 = 0
0 + -22a = 84 + 4
-22a = 84 + 4

Combine like terms: 84 + 4 = 88
-22a = 88

Divide each side by '-22'.
a = -4

Simplifying
a = -4

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