7(9d-5)=12(5d-6)

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Solution for 7(9d-5)=12(5d-6) equation:


Simplifying
7(9d + -5) = 12(5d + -6)

Reorder the terms:
7(-5 + 9d) = 12(5d + -6)
(-5 * 7 + 9d * 7) = 12(5d + -6)
(-35 + 63d) = 12(5d + -6)

Reorder the terms:
-35 + 63d = 12(-6 + 5d)
-35 + 63d = (-6 * 12 + 5d * 12)
-35 + 63d = (-72 + 60d)

Solving
-35 + 63d = -72 + 60d

Solving for variable 'd'.

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

Add '-60d' to each side of the equation.
-35 + 63d + -60d = -72 + 60d + -60d

Combine like terms: 63d + -60d = 3d
-35 + 3d = -72 + 60d + -60d

Combine like terms: 60d + -60d = 0
-35 + 3d = -72 + 0
-35 + 3d = -72

Add '35' to each side of the equation.
-35 + 35 + 3d = -72 + 35

Combine like terms: -35 + 35 = 0
0 + 3d = -72 + 35
3d = -72 + 35

Combine like terms: -72 + 35 = -37
3d = -37

Divide each side by '3'.
d = -12.33333333

Simplifying
d = -12.33333333

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