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

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


Simplifying
4(5 + -1d) = -4d + -2(d + -4)
(5 * 4 + -1d * 4) = -4d + -2(d + -4)
(20 + -4d) = -4d + -2(d + -4)

Reorder the terms:
20 + -4d = -4d + -2(-4 + d)
20 + -4d = -4d + (-4 * -2 + d * -2)
20 + -4d = -4d + (8 + -2d)

Reorder the terms:
20 + -4d = 8 + -4d + -2d

Combine like terms: -4d + -2d = -6d
20 + -4d = 8 + -6d

Solving
20 + -4d = 8 + -6d

Solving for variable 'd'.

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

Add '6d' to each side of the equation.
20 + -4d + 6d = 8 + -6d + 6d

Combine like terms: -4d + 6d = 2d
20 + 2d = 8 + -6d + 6d

Combine like terms: -6d + 6d = 0
20 + 2d = 8 + 0
20 + 2d = 8

Add '-20' to each side of the equation.
20 + -20 + 2d = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 2d = 8 + -20
2d = 8 + -20

Combine like terms: 8 + -20 = -12
2d = -12

Divide each side by '2'.
d = -6

Simplifying
d = -6

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