15-(d-5)=-6+4(d+2)

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Solution for 15-(d-5)=-6+4(d+2) equation: 


Simplifying
15 + -1(d + -5) = -6 + 4(d + 2)

Reorder the terms:
15 + -1(-5 + d) = -6 + 4(d + 2)
15 + (-5 * -1 + d * -1) = -6 + 4(d + 2)
15 + (5 + -1d) = -6 + 4(d + 2)

Combine like terms: 15 + 5 = 20
20 + -1d = -6 + 4(d + 2)

Reorder the terms:
20 + -1d = -6 + 4(2 + d)
20 + -1d = -6 + (2 * 4 + d * 4)
20 + -1d = -6 + (8 + 4d)

Combine like terms: -6 + 8 = 2
20 + -1d = 2 + 4d

Solving
20 + -1d = 2 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
20 + -1d + -4d = 2 + 4d + -4d

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

Combine like terms: 4d + -4d = 0
20 + -5d = 2 + 0
20 + -5d = 2

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

Combine like terms: 20 + -20 = 0
0 + -5d = 2 + -20
-5d = 2 + -20

Combine like terms: 2 + -20 = -18
-5d = -18

Divide each side by '-5'.
d = 3.6

Simplifying
d = 3.6

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