34=5a+3(2a+7)

Solution for 34=5a+3(2a+7) equation:

Simplifying
34 = 5a + 3(2a + 7)

Reorder the terms:
34 = 5a + 3(7 + 2a)
34 = 5a + (7 * 3 + 2a * 3)
34 = 5a + (21 + 6a)

Reorder the terms:
34 = 21 + 5a + 6a

Combine like terms: 5a + 6a = 11a
34 = 21 + 11a

Solving
34 = 21 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
34 + -11a = 21 + 11a + -11a

Combine like terms: 11a + -11a = 0
34 + -11a = 21 + 0
34 + -11a = 21

Add '-34' to each side of the equation.
34 + -34 + -11a = 21 + -34

Combine like terms: 34 + -34 = 0
0 + -11a = 21 + -34
-11a = 21 + -34

Combine like terms: 21 + -34 = -13
-11a = -13

Divide each side by '-11'.
a = 1.181818182

Simplifying
a = 1.181818182