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

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


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

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

Reorder the terms:
12 + 4d = 3(-6 + 3d)
12 + 4d = (-6 * 3 + 3d * 3)
12 + 4d = (-18 + 9d)

Solving
12 + 4d = -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.
12 + 4d + -9d = -18 + 9d + -9d

Combine like terms: 4d + -9d = -5d
12 + -5d = -18 + 9d + -9d

Combine like terms: 9d + -9d = 0
12 + -5d = -18 + 0
12 + -5d = -18

Add '-12' to each side of the equation.
12 + -12 + -5d = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -5d = -18 + -12
-5d = -18 + -12

Combine like terms: -18 + -12 = -30
-5d = -30

Divide each side by '-5'.
d = 6

Simplifying
d = 6

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