5(d+4)=(d-2)

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Solution for 5(d+4)=(d-2) equation:


Simplifying
5(d + 4) = (d + -2)

Reorder the terms:
5(4 + d) = (d + -2)
(4 * 5 + d * 5) = (d + -2)
(20 + 5d) = (d + -2)

Reorder the terms:
20 + 5d = (-2 + d)

Remove parenthesis around (-2 + d)
20 + 5d = -2 + d

Solving
20 + 5d = -2 + d

Solving for variable 'd'.

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

Add '-1d' to each side of the equation.
20 + 5d + -1d = -2 + d + -1d

Combine like terms: 5d + -1d = 4d
20 + 4d = -2 + d + -1d

Combine like terms: d + -1d = 0
20 + 4d = -2 + 0
20 + 4d = -2

Add '-20' to each side of the equation.
20 + -20 + 4d = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 4d = -2 + -20
4d = -2 + -20

Combine like terms: -2 + -20 = -22
4d = -22

Divide each side by '4'.
d = -5.5

Simplifying
d = -5.5

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