6(a+2)+2(5)=4(4)-a+27

Solution for 6(a+2)+2(5)=4(4)-a+27 equation:

Simplifying
6(a + 2) + 2(5) = 4(4) + -1a + 27

Reorder the terms:
6(2 + a) + 2(5) = 4(4) + -1a + 27
(2 * 6 + a * 6) + 2(5) = 4(4) + -1a + 27
(12 + 6a) + 2(5) = 4(4) + -1a + 27

Multiply 2 * 5
12 + 6a + 10 = 4(4) + -1a + 27

Reorder the terms:
12 + 10 + 6a = 4(4) + -1a + 27

Combine like terms: 12 + 10 = 22
22 + 6a = 4(4) + -1a + 27

Multiply 4 * 4
22 + 6a = 16 + -1a + 27

Reorder the terms:
22 + 6a = 16 + 27 + -1a

Combine like terms: 16 + 27 = 43
22 + 6a = 43 + -1a

Solving
22 + 6a = 43 + -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.
22 + 6a + a = 43 + -1a + a

Combine like terms: 6a + a = 7a
22 + 7a = 43 + -1a + a

Combine like terms: -1a + a = 0
22 + 7a = 43 + 0
22 + 7a = 43

Add '-22' to each side of the equation.
22 + -22 + 7a = 43 + -22

Combine like terms: 22 + -22 = 0
0 + 7a = 43 + -22
7a = 43 + -22

Combine like terms: 43 + -22 = 21
7a = 21

Divide each side by '7'.
a = 3

Simplifying
a = 3