2(3d+1)-9d=8(5+2d)

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Solution for 2(3d+1)-9d=8(5+2d) equation:


Simplifying
2(3d + 1) + -9d = 8(5 + 2d)

Reorder the terms:
2(1 + 3d) + -9d = 8(5 + 2d)
(1 * 2 + 3d * 2) + -9d = 8(5 + 2d)
(2 + 6d) + -9d = 8(5 + 2d)

Combine like terms: 6d + -9d = -3d
2 + -3d = 8(5 + 2d)
2 + -3d = (5 * 8 + 2d * 8)
2 + -3d = (40 + 16d)

Solving
2 + -3d = 40 + 16d

Solving for variable 'd'.

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

Add '-16d' to each side of the equation.
2 + -3d + -16d = 40 + 16d + -16d

Combine like terms: -3d + -16d = -19d
2 + -19d = 40 + 16d + -16d

Combine like terms: 16d + -16d = 0
2 + -19d = 40 + 0
2 + -19d = 40

Add '-2' to each side of the equation.
2 + -2 + -19d = 40 + -2

Combine like terms: 2 + -2 = 0
0 + -19d = 40 + -2
-19d = 40 + -2

Combine like terms: 40 + -2 = 38
-19d = 38

Divide each side by '-19'.
d = -2

Simplifying
d = -2

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