6(a+2)+2*4=25-a+27

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Solution for 6(a+2)+2*4=25-a+27 equation:


Simplifying
6(a + 2) + 2 * 4 = 25 + -1a + 27

Reorder the terms:
6(2 + a) + 2 * 4 = 25 + -1a + 27
(2 * 6 + a * 6) + 2 * 4 = 25 + -1a + 27
(12 + 6a) + 2 * 4 = 25 + -1a + 27

Multiply 2 * 4
12 + 6a + 8 = 25 + -1a + 27

Reorder the terms:
12 + 8 + 6a = 25 + -1a + 27

Combine like terms: 12 + 8 = 20
20 + 6a = 25 + -1a + 27

Reorder the terms:
20 + 6a = 25 + 27 + -1a

Combine like terms: 25 + 27 = 52
20 + 6a = 52 + -1a

Solving
20 + 6a = 52 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
20 + 6a + a = 52 + -1a + a

Combine like terms: 6a + a = 7a
20 + 7a = 52 + -1a + a

Combine like terms: -1a + a = 0
20 + 7a = 52 + 0
20 + 7a = 52

Add '-20' to each side of the equation.
20 + -20 + 7a = 52 + -20

Combine like terms: 20 + -20 = 0
0 + 7a = 52 + -20
7a = 52 + -20

Combine like terms: 52 + -20 = 32
7a = 32

Divide each side by '7'.
a = 4.571428571

Simplifying
a = 4.571428571

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