10-24d=4-5(2d+9)+3d

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Solution for 10-24d=4-5(2d+9)+3d equation:


Simplifying
10 + -24d = 4 + -5(2d + 9) + 3d

Reorder the terms:
10 + -24d = 4 + -5(9 + 2d) + 3d
10 + -24d = 4 + (9 * -5 + 2d * -5) + 3d
10 + -24d = 4 + (-45 + -10d) + 3d

Combine like terms: 4 + -45 = -41
10 + -24d = -41 + -10d + 3d

Combine like terms: -10d + 3d = -7d
10 + -24d = -41 + -7d

Solving
10 + -24d = -41 + -7d

Solving for variable 'd'.

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

Add '7d' to each side of the equation.
10 + -24d + 7d = -41 + -7d + 7d

Combine like terms: -24d + 7d = -17d
10 + -17d = -41 + -7d + 7d

Combine like terms: -7d + 7d = 0
10 + -17d = -41 + 0
10 + -17d = -41

Add '-10' to each side of the equation.
10 + -10 + -17d = -41 + -10

Combine like terms: 10 + -10 = 0
0 + -17d = -41 + -10
-17d = -41 + -10

Combine like terms: -41 + -10 = -51
-17d = -51

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

Simplifying
d = 3

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