8d-6=37+9(d-3)-5d

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Solution for 8d-6=37+9(d-3)-5d equation:


Simplifying
8d + -6 = 37 + 9(d + -3) + -5d

Reorder the terms:
-6 + 8d = 37 + 9(d + -3) + -5d

Reorder the terms:
-6 + 8d = 37 + 9(-3 + d) + -5d
-6 + 8d = 37 + (-3 * 9 + d * 9) + -5d
-6 + 8d = 37 + (-27 + 9d) + -5d

Combine like terms: 37 + -27 = 10
-6 + 8d = 10 + 9d + -5d

Combine like terms: 9d + -5d = 4d
-6 + 8d = 10 + 4d

Solving
-6 + 8d = 10 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
-6 + 8d + -4d = 10 + 4d + -4d

Combine like terms: 8d + -4d = 4d
-6 + 4d = 10 + 4d + -4d

Combine like terms: 4d + -4d = 0
-6 + 4d = 10 + 0
-6 + 4d = 10

Add '6' to each side of the equation.
-6 + 6 + 4d = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4d = 10 + 6
4d = 10 + 6

Combine like terms: 10 + 6 = 16
4d = 16

Divide each side by '4'.
d = 4

Simplifying
d = 4

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