15-5d-7(d-2)=5d-22

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Solution for 15-5d-7(d-2)=5d-22 equation: 


Simplifying
15 + -5d + -7(d + -2) = 5d + -22

Reorder the terms:
15 + -5d + -7(-2 + d) = 5d + -22
15 + -5d + (-2 * -7 + d * -7) = 5d + -22
15 + -5d + (14 + -7d) = 5d + -22

Reorder the terms:
15 + 14 + -5d + -7d = 5d + -22

Combine like terms: 15 + 14 = 29
29 + -5d + -7d = 5d + -22

Combine like terms: -5d + -7d = -12d
29 + -12d = 5d + -22

Reorder the terms:
29 + -12d = -22 + 5d

Solving
29 + -12d = -22 + 5d

Solving for variable 'd'.

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

Add '-5d' to each side of the equation.
29 + -12d + -5d = -22 + 5d + -5d

Combine like terms: -12d + -5d = -17d
29 + -17d = -22 + 5d + -5d

Combine like terms: 5d + -5d = 0
29 + -17d = -22 + 0
29 + -17d = -22

Add '-29' to each side of the equation.
29 + -29 + -17d = -22 + -29

Combine like terms: 29 + -29 = 0
0 + -17d = -22 + -29
-17d = -22 + -29

Combine like terms: -22 + -29 = -51
-17d = -51

Divide each side by '-17'.
d = 3

Simplifying
d = 3

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