7(d+1)-(1+5d)=0

Solution for 7(d+1)-(1+5d)=0 equation:

Simplifying
7(d + 1) + -1(1 + 5d) = 0

Reorder the terms:
7(1 + d) + -1(1 + 5d) = 0
(1 * 7 + d * 7) + -1(1 + 5d) = 0
(7 + 7d) + -1(1 + 5d) = 0
7 + 7d + (1 * -1 + 5d * -1) = 0
7 + 7d + (-1 + -5d) = 0

Reorder the terms:
7 + -1 + 7d + -5d = 0

Combine like terms: 7 + -1 = 6
6 + 7d + -5d = 0

Combine like terms: 7d + -5d = 2d
6 + 2d = 0

Solving
6 + 2d = 0

Solving for variable 'd'.

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

Add '-6' to each side of the equation.
6 + -6 + 2d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2d = 0 + -6
2d = 0 + -6

Combine like terms: 0 + -6 = -6
2d = -6

Divide each side by '2'.
d = -3

Simplifying
d = -3