5(a+2)=5a+16+3a

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Solution for 5(a+2)=5a+16+3a equation:


Simplifying
5(a + 2) = 5a + 16 + 3a

Reorder the terms:
5(2 + a) = 5a + 16 + 3a
(2 * 5 + a * 5) = 5a + 16 + 3a
(10 + 5a) = 5a + 16 + 3a

Reorder the terms:
10 + 5a = 16 + 5a + 3a

Combine like terms: 5a + 3a = 8a
10 + 5a = 16 + 8a

Solving
10 + 5a = 16 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
10 + 5a + -8a = 16 + 8a + -8a

Combine like terms: 5a + -8a = -3a
10 + -3a = 16 + 8a + -8a

Combine like terms: 8a + -8a = 0
10 + -3a = 16 + 0
10 + -3a = 16

Add '-10' to each side of the equation.
10 + -10 + -3a = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -3a = 16 + -10
-3a = 16 + -10

Combine like terms: 16 + -10 = 6
-3a = 6

Divide each side by '-3'.
a = -2

Simplifying
a = -2

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