4(d-1)+46=-2d

Solution for 4(d-1)+46=-2d equation:

Simplifying
4(d + -1) + 46 = -2d

Reorder the terms:
4(-1 + d) + 46 = -2d
(-1 * 4 + d * 4) + 46 = -2d
(-4 + 4d) + 46 = -2d

Reorder the terms:
-4 + 46 + 4d = -2d

Combine like terms: -4 + 46 = 42
42 + 4d = -2d

Solving
42 + 4d = -2d

Solving for variable 'd'.

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

Add '2d' to each side of the equation.
42 + 4d + 2d = -2d + 2d

Combine like terms: 4d + 2d = 6d
42 + 6d = -2d + 2d

Combine like terms: -2d + 2d = 0
42 + 6d = 0

Add '-42' to each side of the equation.
42 + -42 + 6d = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 6d = 0 + -42
6d = 0 + -42

Combine like terms: 0 + -42 = -42
6d = -42

Divide each side by '6'.
d = -7

Simplifying
d = -7