3.5(15d+20)-1.6(18d-12)=38

Solution for 3.5(15d+20)-1.6(18d-12)=38 equation:

Simplifying
3.5(15d + 20) + -1.6(18d + -12) = 38

Reorder the terms:
3.5(20 + 15d) + -1.6(18d + -12) = 38
(20 * 3.5 + 15d * 3.5) + -1.6(18d + -12) = 38
(70 + 52.5d) + -1.6(18d + -12) = 38

Reorder the terms:
70 + 52.5d + -1.6(-12 + 18d) = 38
70 + 52.5d + (-12 * -1.6 + 18d * -1.6) = 38
70 + 52.5d + (19.2 + -28.8d) = 38

Reorder the terms:
70 + 19.2 + 52.5d + -28.8d = 38

Combine like terms: 70 + 19.2 = 89.2
89.2 + 52.5d + -28.8d = 38

Combine like terms: 52.5d + -28.8d = 23.7d
89.2 + 23.7d = 38

Solving
89.2 + 23.7d = 38

Solving for variable 'd'.

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

Add '-89.2' to each side of the equation.
89.2 + -89.2 + 23.7d = 38 + -89.2

Combine like terms: 89.2 + -89.2 = 0.0
0.0 + 23.7d = 38 + -89.2
23.7d = 38 + -89.2

Combine like terms: 38 + -89.2 = -51.2
23.7d = -51.2

Divide each side by '23.7'.
d = -2.160337553

Simplifying
d = -2.160337553