2(6d+3)=18-3(6d-3d)

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Solution for 2(6d+3)=18-3(6d-3d) equation:


Simplifying
2(6d + 3) = 18 + -3(6d + -3d)

Reorder the terms:
2(3 + 6d) = 18 + -3(6d + -3d)
(3 * 2 + 6d * 2) = 18 + -3(6d + -3d)
(6 + 12d) = 18 + -3(6d + -3d)

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

Remove parenthesis around (3d)
6 + 12d = 18 + -3 * 3d

Multiply -3 * 3
6 + 12d = 18 + -9d

Solving
6 + 12d = 18 + -9d

Solving for variable 'd'.

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

Add '9d' to each side of the equation.
6 + 12d + 9d = 18 + -9d + 9d

Combine like terms: 12d + 9d = 21d
6 + 21d = 18 + -9d + 9d

Combine like terms: -9d + 9d = 0
6 + 21d = 18 + 0
6 + 21d = 18

Add '-6' to each side of the equation.
6 + -6 + 21d = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 21d = 18 + -6
21d = 18 + -6

Combine like terms: 18 + -6 = 12
21d = 12

Divide each side by '21'.
d = 0.5714285714

Simplifying
d = 0.5714285714

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