73(d-8)-5=9(d+2)+1

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Solution for 73(d-8)-5=9(d+2)+1 equation:


Simplifying
73(d + -8) + -5 = 9(d + 2) + 1

Reorder the terms:
73(-8 + d) + -5 = 9(d + 2) + 1
(-8 * 73 + d * 73) + -5 = 9(d + 2) + 1
(-584 + 73d) + -5 = 9(d + 2) + 1

Reorder the terms:
-584 + -5 + 73d = 9(d + 2) + 1

Combine like terms: -584 + -5 = -589
-589 + 73d = 9(d + 2) + 1

Reorder the terms:
-589 + 73d = 9(2 + d) + 1
-589 + 73d = (2 * 9 + d * 9) + 1
-589 + 73d = (18 + 9d) + 1

Reorder the terms:
-589 + 73d = 18 + 1 + 9d

Combine like terms: 18 + 1 = 19
-589 + 73d = 19 + 9d

Solving
-589 + 73d = 19 + 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.
-589 + 73d + -9d = 19 + 9d + -9d

Combine like terms: 73d + -9d = 64d
-589 + 64d = 19 + 9d + -9d

Combine like terms: 9d + -9d = 0
-589 + 64d = 19 + 0
-589 + 64d = 19

Add '589' to each side of the equation.
-589 + 589 + 64d = 19 + 589

Combine like terms: -589 + 589 = 0
0 + 64d = 19 + 589
64d = 19 + 589

Combine like terms: 19 + 589 = 608
64d = 608

Divide each side by '64'.
d = 9.5

Simplifying
d = 9.5

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