5a+100=16a-21

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Solution for 5a+100=16a-21 equation: 


Simplifying
5a + 100 = 16a + -21

Reorder the terms:
100 + 5a = 16a + -21

Reorder the terms:
100 + 5a = -21 + 16a

Solving
100 + 5a = -21 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
100 + 5a + -16a = -21 + 16a + -16a

Combine like terms: 5a + -16a = -11a
100 + -11a = -21 + 16a + -16a

Combine like terms: 16a + -16a = 0
100 + -11a = -21 + 0
100 + -11a = -21

Add '-100' to each side of the equation.
100 + -100 + -11a = -21 + -100

Combine like terms: 100 + -100 = 0
0 + -11a = -21 + -100
-11a = -21 + -100

Combine like terms: -21 + -100 = -121
-11a = -121

Divide each side by '-11'.
a = 11

Simplifying
a = 11

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