5a+16=3(a+6)

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Solution for 5a+16=3(a+6) equation: 


Simplifying
5a + 16 = 3(a + 6)

Reorder the terms:
16 + 5a = 3(a + 6)

Reorder the terms:
16 + 5a = 3(6 + a)
16 + 5a = (6 * 3 + a * 3)
16 + 5a = (18 + 3a)

Solving
16 + 5a = 18 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
16 + 5a + -3a = 18 + 3a + -3a

Combine like terms: 5a + -3a = 2a
16 + 2a = 18 + 3a + -3a

Combine like terms: 3a + -3a = 0
16 + 2a = 18 + 0
16 + 2a = 18

Add '-16' to each side of the equation.
16 + -16 + 2a = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 2a = 18 + -16
2a = 18 + -16

Combine like terms: 18 + -16 = 2
2a = 2

Divide each side by '2'.
a = 1

Simplifying
a = 1

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