2a+3(3a+1)=58

Solution for 2a+3(3a+1)=58 equation:

Simplifying
2a + 3(3a + 1) = 58

Reorder the terms:
2a + 3(1 + 3a) = 58
2a + (1 * 3 + 3a * 3) = 58
2a + (3 + 9a) = 58

Reorder the terms:
3 + 2a + 9a = 58

Combine like terms: 2a + 9a = 11a
3 + 11a = 58

Solving
3 + 11a = 58

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 11a = 58 + -3

Combine like terms: 3 + -3 = 0
0 + 11a = 58 + -3
11a = 58 + -3

Combine like terms: 58 + -3 = 55
11a = 55

Divide each side by '11'.
a = 5

Simplifying
a = 5