2[9-(8d-5)]+13=12d+25

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Solution for 2[9-(8d-5)]+13=12d+25 equation:


Simplifying
2[9 + -1(8d + -5)] + 13 = 12d + 25

Reorder the terms:
2[9 + -1(-5 + 8d)] + 13 = 12d + 25
2[9 + (-5 * -1 + 8d * -1)] + 13 = 12d + 25
2[9 + (5 + -8d)] + 13 = 12d + 25

Combine like terms: 9 + 5 = 14
2[14 + -8d] + 13 = 12d + 25
[14 * 2 + -8d * 2] + 13 = 12d + 25
[28 + -16d] + 13 = 12d + 25

Reorder the terms:
28 + 13 + -16d = 12d + 25

Combine like terms: 28 + 13 = 41
41 + -16d = 12d + 25

Reorder the terms:
41 + -16d = 25 + 12d

Solving
41 + -16d = 25 + 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.
41 + -16d + -12d = 25 + 12d + -12d

Combine like terms: -16d + -12d = -28d
41 + -28d = 25 + 12d + -12d

Combine like terms: 12d + -12d = 0
41 + -28d = 25 + 0
41 + -28d = 25

Add '-41' to each side of the equation.
41 + -41 + -28d = 25 + -41

Combine like terms: 41 + -41 = 0
0 + -28d = 25 + -41
-28d = 25 + -41

Combine like terms: 25 + -41 = -16
-28d = -16

Divide each side by '-28'.
d = 0.5714285714

Simplifying
d = 0.5714285714

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