6(1+3d)=-8(-2m+5)-4

Solution for 6(1+3d)=-8(-2m+5)-4 equation:

Simplifying
6(1 + 3d) = -8(-2m + 5) + -4
(1 * 6 + 3d * 6) = -8(-2m + 5) + -4
(6 + 18d) = -8(-2m + 5) + -4

Reorder the terms:
6 + 18d = -8(5 + -2m) + -4
6 + 18d = (5 * -8 + -2m * -8) + -4
6 + 18d = (-40 + 16m) + -4

Reorder the terms:
6 + 18d = -40 + -4 + 16m

Combine like terms: -40 + -4 = -44
6 + 18d = -44 + 16m

Solving
6 + 18d = -44 + 16m

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 + 18d = -44 + -6 + 16m

Combine like terms: 6 + -6 = 0
0 + 18d = -44 + -6 + 16m
18d = -44 + -6 + 16m

Combine like terms: -44 + -6 = -50
18d = -50 + 16m

Divide each side by '18'.
d = -2.777777778 + 0.8888888889m

Simplifying
d = -2.777777778 + 0.8888888889m