3(3d+6)=5d-8d+54

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Solution for 3(3d+6)=5d-8d+54 equation:


Simplifying
3(3d + 6) = 5d + -8d + 54

Reorder the terms:
3(6 + 3d) = 5d + -8d + 54
(6 * 3 + 3d * 3) = 5d + -8d + 54
(18 + 9d) = 5d + -8d + 54

Reorder the terms:
18 + 9d = 54 + 5d + -8d

Combine like terms: 5d + -8d = -3d
18 + 9d = 54 + -3d

Solving
18 + 9d = 54 + -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.
18 + 9d + 3d = 54 + -3d + 3d

Combine like terms: 9d + 3d = 12d
18 + 12d = 54 + -3d + 3d

Combine like terms: -3d + 3d = 0
18 + 12d = 54 + 0
18 + 12d = 54

Add '-18' to each side of the equation.
18 + -18 + 12d = 54 + -18

Combine like terms: 18 + -18 = 0
0 + 12d = 54 + -18
12d = 54 + -18

Combine like terms: 54 + -18 = 36
12d = 36

Divide each side by '12'.
d = 3

Simplifying
d = 3

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