3(4d+1)-9d=6(3-d)

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Solution for 3(4d+1)-9d=6(3-d) equation: 


Simplifying
3(4d + 1) + -9d = 6(3 + -1d)

Reorder the terms:
3(1 + 4d) + -9d = 6(3 + -1d)
(1 * 3 + 4d * 3) + -9d = 6(3 + -1d)
(3 + 12d) + -9d = 6(3 + -1d)

Combine like terms: 12d + -9d = 3d
3 + 3d = 6(3 + -1d)
3 + 3d = (3 * 6 + -1d * 6)
3 + 3d = (18 + -6d)

Solving
3 + 3d = 18 + -6d

Solving for variable 'd'.

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

Add '6d' to each side of the equation.
3 + 3d + 6d = 18 + -6d + 6d

Combine like terms: 3d + 6d = 9d
3 + 9d = 18 + -6d + 6d

Combine like terms: -6d + 6d = 0
3 + 9d = 18 + 0
3 + 9d = 18

Add '-3' to each side of the equation.
3 + -3 + 9d = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 9d = 18 + -3
9d = 18 + -3

Combine like terms: 18 + -3 = 15
9d = 15

Divide each side by '9'.
d = 1.666666667

Simplifying
d = 1.666666667

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