8(2d-5)-9d=3d+8

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Solution for 8(2d-5)-9d=3d+8 equation:


Simplifying
8(2d + -5) + -9d = 3d + 8

Reorder the terms:
8(-5 + 2d) + -9d = 3d + 8
(-5 * 8 + 2d * 8) + -9d = 3d + 8
(-40 + 16d) + -9d = 3d + 8

Combine like terms: 16d + -9d = 7d
-40 + 7d = 3d + 8

Reorder the terms:
-40 + 7d = 8 + 3d

Solving
-40 + 7d = 8 + 3d

Solving for variable 'd'.

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

Add '-3d' to each side of the equation.
-40 + 7d + -3d = 8 + 3d + -3d

Combine like terms: 7d + -3d = 4d
-40 + 4d = 8 + 3d + -3d

Combine like terms: 3d + -3d = 0
-40 + 4d = 8 + 0
-40 + 4d = 8

Add '40' to each side of the equation.
-40 + 40 + 4d = 8 + 40

Combine like terms: -40 + 40 = 0
0 + 4d = 8 + 40
4d = 8 + 40

Combine like terms: 8 + 40 = 48
4d = 48

Divide each side by '4'.
d = 12

Simplifying
d = 12

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