7a=5(a+2)+16

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Solution for 7a=5(a+2)+16 equation:


Simplifying
7a = 5(a + 2) + 16

Reorder the terms:
7a = 5(2 + a) + 16
7a = (2 * 5 + a * 5) + 16
7a = (10 + 5a) + 16

Reorder the terms:
7a = 10 + 16 + 5a

Combine like terms: 10 + 16 = 26
7a = 26 + 5a

Solving
7a = 26 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
7a + -5a = 26 + 5a + -5a

Combine like terms: 7a + -5a = 2a
2a = 26 + 5a + -5a

Combine like terms: 5a + -5a = 0
2a = 26 + 0
2a = 26

Divide each side by '2'.
a = 13

Simplifying
a = 13

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