2(3a+8)-11=7

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Solution for 2(3a+8)-11=7 equation:


Simplifying
2(3a + 8) + -11 = 7

Reorder the terms:
2(8 + 3a) + -11 = 7
(8 * 2 + 3a * 2) + -11 = 7
(16 + 6a) + -11 = 7

Reorder the terms:
16 + -11 + 6a = 7

Combine like terms: 16 + -11 = 5
5 + 6a = 7

Solving
5 + 6a = 7

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 6a = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 6a = 7 + -5
6a = 7 + -5

Combine like terms: 7 + -5 = 2
6a = 2

Divide each side by '6'.
a = 0.3333333333

Simplifying
a = 0.3333333333

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