2(5a+9)+2(5a+9)=116

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Solution for 2(5a+9)+2(5a+9)=116 equation:


Simplifying
2(5a + 9) + 2(5a + 9) = 116

Reorder the terms:
2(9 + 5a) + 2(5a + 9) = 116
(9 * 2 + 5a * 2) + 2(5a + 9) = 116
(18 + 10a) + 2(5a + 9) = 116

Reorder the terms:
18 + 10a + 2(9 + 5a) = 116
18 + 10a + (9 * 2 + 5a * 2) = 116
18 + 10a + (18 + 10a) = 116

Reorder the terms:
18 + 18 + 10a + 10a = 116

Combine like terms: 18 + 18 = 36
36 + 10a + 10a = 116

Combine like terms: 10a + 10a = 20a
36 + 20a = 116

Solving
36 + 20a = 116

Solving for variable 'a'.

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

Add '-36' to each side of the equation.
36 + -36 + 20a = 116 + -36

Combine like terms: 36 + -36 = 0
0 + 20a = 116 + -36
20a = 116 + -36

Combine like terms: 116 + -36 = 80
20a = 80

Divide each side by '20'.
a = 4

Simplifying
a = 4

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