8(8d-5)+13=12d-2

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Solution for 8(8d-5)+13=12d-2 equation:


Simplifying
8(8d + -5) + 13 = 12d + -2

Reorder the terms:
8(-5 + 8d) + 13 = 12d + -2
(-5 * 8 + 8d * 8) + 13 = 12d + -2
(-40 + 64d) + 13 = 12d + -2

Reorder the terms:
-40 + 13 + 64d = 12d + -2

Combine like terms: -40 + 13 = -27
-27 + 64d = 12d + -2

Reorder the terms:
-27 + 64d = -2 + 12d

Solving
-27 + 64d = -2 + 12d

Solving for variable 'd'.

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

Add '-12d' to each side of the equation.
-27 + 64d + -12d = -2 + 12d + -12d

Combine like terms: 64d + -12d = 52d
-27 + 52d = -2 + 12d + -12d

Combine like terms: 12d + -12d = 0
-27 + 52d = -2 + 0
-27 + 52d = -2

Add '27' to each side of the equation.
-27 + 27 + 52d = -2 + 27

Combine like terms: -27 + 27 = 0
0 + 52d = -2 + 27
52d = -2 + 27

Combine like terms: -2 + 27 = 25
52d = 25

Divide each side by '52'.
d = 0.4807692308

Simplifying
d = 0.4807692308

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