3a+16=4a+5

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Solution for 3a+16=4a+5 equation:


Simplifying
3a + 16 = 4a + 5

Reorder the terms:
16 + 3a = 4a + 5

Reorder the terms:
16 + 3a = 5 + 4a

Solving
16 + 3a = 5 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
16 + 3a + -4a = 5 + 4a + -4a

Combine like terms: 3a + -4a = -1a
16 + -1a = 5 + 4a + -4a

Combine like terms: 4a + -4a = 0
16 + -1a = 5 + 0
16 + -1a = 5

Add '-16' to each side of the equation.
16 + -16 + -1a = 5 + -16

Combine like terms: 16 + -16 = 0
0 + -1a = 5 + -16
-1a = 5 + -16

Combine like terms: 5 + -16 = -11
-1a = -11

Divide each side by '-1'.
a = 11

Simplifying
a = 11

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