8a+6(a+7)=1

Solution for 8a+6(a+7)=1 equation:

Simplifying
8a + 6(a + 7) = 1

Reorder the terms:
8a + 6(7 + a) = 1
8a + (7 * 6 + a * 6) = 1
8a + (42 + 6a) = 1

Reorder the terms:
42 + 8a + 6a = 1

Combine like terms: 8a + 6a = 14a
42 + 14a = 1

Solving
42 + 14a = 1

Solving for variable 'a'.

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

Add '-42' to each side of the equation.
42 + -42 + 14a = 1 + -42

Combine like terms: 42 + -42 = 0
0 + 14a = 1 + -42
14a = 1 + -42

Combine like terms: 1 + -42 = -41
14a = -41

Divide each side by '14'.
a = -2.928571429

Simplifying
a = -2.928571429