2(6d+3)=18-3(16-13d)

Solution for 2(6d+3)=18-3(16-13d) equation:

Simplifying
2(6d + 3) = 18 + -3(16 + -13d)

Reorder the terms:
2(3 + 6d) = 18 + -3(16 + -13d)
(3 * 2 + 6d * 2) = 18 + -3(16 + -13d)
(6 + 12d) = 18 + -3(16 + -13d)
6 + 12d = 18 + (16 * -3 + -13d * -3)
6 + 12d = 18 + (-48 + 39d)

Combine like terms: 18 + -48 = -30
6 + 12d = -30 + 39d

Solving
6 + 12d = -30 + 39d

Solving for variable 'd'.

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

Add '-39d' to each side of the equation.
6 + 12d + -39d = -30 + 39d + -39d

Combine like terms: 12d + -39d = -27d
6 + -27d = -30 + 39d + -39d

Combine like terms: 39d + -39d = 0
6 + -27d = -30 + 0
6 + -27d = -30

Add '-6' to each side of the equation.
6 + -6 + -27d = -30 + -6

Combine like terms: 6 + -6 = 0
0 + -27d = -30 + -6
-27d = -30 + -6

Combine like terms: -30 + -6 = -36
-27d = -36

Divide each side by '-27'.
d = 1.333333333

Simplifying
d = 1.333333333