18-3(16-3d)=2(6d+3)

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Solution for 18-3(16-3d)=2(6d+3) equation:


Simplifying
18 + -3(16 + -3d) = 2(6d + 3)
18 + (16 * -3 + -3d * -3) = 2(6d + 3)
18 + (-48 + 9d) = 2(6d + 3)

Combine like terms: 18 + -48 = -30
-30 + 9d = 2(6d + 3)

Reorder the terms:
-30 + 9d = 2(3 + 6d)
-30 + 9d = (3 * 2 + 6d * 2)
-30 + 9d = (6 + 12d)

Solving
-30 + 9d = 6 + 12d

Solving for variable 'd'.

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

Add '-12d' to each side of the equation.
-30 + 9d + -12d = 6 + 12d + -12d

Combine like terms: 9d + -12d = -3d
-30 + -3d = 6 + 12d + -12d

Combine like terms: 12d + -12d = 0
-30 + -3d = 6 + 0
-30 + -3d = 6

Add '30' to each side of the equation.
-30 + 30 + -3d = 6 + 30

Combine like terms: -30 + 30 = 0
0 + -3d = 6 + 30
-3d = 6 + 30

Combine like terms: 6 + 30 = 36
-3d = 36

Divide each side by '-3'.
d = -12

Simplifying
d = -12

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