-6(7.8d-5.37)=3(18.3-16.3d)

Solution for -6(7.8d-5.37)=3(18.3-16.3d) equation:

Simplifying
-6(7.8d + -5.37) = 3(18.3 + -16.3d)

Reorder the terms:
-6(-5.37 + 7.8d) = 3(18.3 + -16.3d)
(-5.37 * -6 + 7.8d * -6) = 3(18.3 + -16.3d)
(32.22 + -46.8d) = 3(18.3 + -16.3d)
32.22 + -46.8d = (18.3 * 3 + -16.3d * 3)
32.22 + -46.8d = (54.9 + -48.9d)

Solving
32.22 + -46.8d = 54.9 + -48.9d

Solving for variable 'd'.

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

Add '48.9d' to each side of the equation.
32.22 + -46.8d + 48.9d = 54.9 + -48.9d + 48.9d

Combine like terms: -46.8d + 48.9d = 2.1d
32.22 + 2.1d = 54.9 + -48.9d + 48.9d

Combine like terms: -48.9d + 48.9d = 0.0
32.22 + 2.1d = 54.9 + 0.0
32.22 + 2.1d = 54.9

Add '-32.22' to each side of the equation.
32.22 + -32.22 + 2.1d = 54.9 + -32.22

Combine like terms: 32.22 + -32.22 = 0.00
0.00 + 2.1d = 54.9 + -32.22
2.1d = 54.9 + -32.22

Combine like terms: 54.9 + -32.22 = 22.68
2.1d = 22.68

Divide each side by '2.1'.
d = 10.8

Simplifying
d = 10.8