3a+16=a+46

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Solution for 3a+16=a+46 equation: 


Simplifying
3a + 16 = a + 46

Reorder the terms:
16 + 3a = a + 46

Reorder the terms:
16 + 3a = 46 + a

Solving
16 + 3a = 46 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
16 + 3a + -1a = 46 + a + -1a

Combine like terms: 3a + -1a = 2a
16 + 2a = 46 + a + -1a

Combine like terms: a + -1a = 0
16 + 2a = 46 + 0
16 + 2a = 46

Add '-16' to each side of the equation.
16 + -16 + 2a = 46 + -16

Combine like terms: 16 + -16 = 0
0 + 2a = 46 + -16
2a = 46 + -16

Combine like terms: 46 + -16 = 30
2a = 30

Divide each side by '2'.
a = 15

Simplifying
a = 15

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