3(a-16)+2(a+26)=a+6

Solution for 3(a-16)+2(a+26)=a+6 equation:

Simplifying
3(a + -16) + 2(a + 26) = a + 6

Reorder the terms:
3(-16 + a) + 2(a + 26) = a + 6
(-16 * 3 + a * 3) + 2(a + 26) = a + 6
(-48 + 3a) + 2(a + 26) = a + 6

Reorder the terms:
-48 + 3a + 2(26 + a) = a + 6
-48 + 3a + (26 * 2 + a * 2) = a + 6
-48 + 3a + (52 + 2a) = a + 6

Reorder the terms:
-48 + 52 + 3a + 2a = a + 6

Combine like terms: -48 + 52 = 4
4 + 3a + 2a = a + 6

Combine like terms: 3a + 2a = 5a
4 + 5a = a + 6

Reorder the terms:
4 + 5a = 6 + a

Solving
4 + 5a = 6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
4 + 5a + -1a = 6 + a + -1a

Combine like terms: 5a + -1a = 4a
4 + 4a = 6 + a + -1a

Combine like terms: a + -1a = 0
4 + 4a = 6 + 0
4 + 4a = 6

Add '-4' to each side of the equation.
4 + -4 + 4a = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 4a = 6 + -4
4a = 6 + -4

Combine like terms: 6 + -4 = 2
4a = 2

Divide each side by '4'.
a = 0.5

Simplifying
a = 0.5