4(3-6d)+5=9(2f-2)3d

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Solution for 4(3-6d)+5=9(2f-2)3d equation:


Simplifying
4(3 + -6d) + 5 = 9(2f + -2) * 3d
(3 * 4 + -6d * 4) + 5 = 9(2f + -2) * 3d
(12 + -24d) + 5 = 9(2f + -2) * 3d

Reorder the terms:
12 + 5 + -24d = 9(2f + -2) * 3d

Combine like terms: 12 + 5 = 17
17 + -24d = 9(2f + -2) * 3d

Reorder the terms:
17 + -24d = 9(-2 + 2f) * 3d

Reorder the terms for easier multiplication:
17 + -24d = 9 * 3d(-2 + 2f)

Multiply 9 * 3
17 + -24d = 27d(-2 + 2f)
17 + -24d = (-2 * 27d + 2f * 27d)
17 + -24d = (-54d + 54df)

Solving
17 + -24d = -54d + 54df

Solving for variable 'd'.

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

Add '54d' to each side of the equation.
17 + -24d + 54d = -54d + 54d + 54df

Combine like terms: -24d + 54d = 30d
17 + 30d = -54d + 54d + 54df

Combine like terms: -54d + 54d = 0
17 + 30d = 0 + 54df
17 + 30d = 54df

Add '-54df' to each side of the equation.
17 + 30d + -54df = 54df + -54df

Combine like terms: 54df + -54df = 0
17 + 30d + -54df = 0

Add '-17' to each side of the equation.
17 + 30d + -17 + -54df = 0 + -17

Reorder the terms:
17 + -17 + 30d + -54df = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 30d + -54df = 0 + -17
30d + -54df = 0 + -17

Combine like terms: 0 + -17 = -17
30d + -54df = -17

Reorder the terms:
17 + 30d + -54df = -17 + 17

Combine like terms: -17 + 17 = 0
17 + 30d + -54df = 0

The solution to this equation could not be determined.

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