6d-3(d-18)=6(d+9)

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Solution for 6d-3(d-18)=6(d+9) equation:


Simplifying
6d + -3(d + -18) = 6(d + 9)

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

Reorder the terms:
54 + 6d + -3d = 6(d + 9)

Combine like terms: 6d + -3d = 3d
54 + 3d = 6(d + 9)

Reorder the terms:
54 + 3d = 6(9 + d)
54 + 3d = (9 * 6 + d * 6)
54 + 3d = (54 + 6d)

Add '-54' to each side of the equation.
54 + -54 + 3d = 54 + -54 + 6d

Combine like terms: 54 + -54 = 0
0 + 3d = 54 + -54 + 6d
3d = 54 + -54 + 6d

Combine like terms: 54 + -54 = 0
3d = 0 + 6d
3d = 6d

Solving
3d = 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.
3d + -6d = 6d + -6d

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

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

Divide each side by '-3'.
d = 0

Simplifying
d = 0

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