10d+2(9d+3)=1

Solution for 10d+2(9d+3)=1 equation:

Simplifying
10d + 2(9d + 3) = 1

Reorder the terms:
10d + 2(3 + 9d) = 1
10d + (3 * 2 + 9d * 2) = 1
10d + (6 + 18d) = 1

Reorder the terms:
6 + 10d + 18d = 1

Combine like terms: 10d + 18d = 28d
6 + 28d = 1

Solving
6 + 28d = 1

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 + 28d = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 28d = 1 + -6
28d = 1 + -6

Combine like terms: 1 + -6 = -5
28d = -5

Divide each side by '28'.
d = -0.1785714286

Simplifying
d = -0.1785714286