2n+15=2nd+20-5

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Solution for 2n+15=2nd+20-5 equation: 


Simplifying
2n + 15 = 2nd + 20 + -5

Reorder the terms:
15 + 2n = 2nd + 20 + -5

Reorder the terms:
15 + 2n = 20 + -5 + 2dn

Combine like terms: 20 + -5 = 15
15 + 2n = 15 + 2dn

Add '-15' to each side of the equation.
15 + -15 + 2n = 15 + -15 + 2dn

Combine like terms: 15 + -15 = 0
0 + 2n = 15 + -15 + 2dn
2n = 15 + -15 + 2dn

Combine like terms: 15 + -15 = 0
2n = 0 + 2dn
2n = 2dn

Solving
2n = 2dn

Solving for variable 'n'.

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

Add '-2dn' to each side of the equation.
-2dn + 2n = 2dn + -2dn

Combine like terms: 2dn + -2dn = 0
-2dn + 2n = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-1d + 1) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-1d + 1)' equal to zero and attempt to solve:

Simplifying
-1d + 1 = 0

Reorder the terms:
1 + -1d = 0

Solving
1 + -1d = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1d = 0 + -1
-1d = 0 + -1

Combine like terms: 0 + -1 = -1
-1d = -1

Add 'd' to each side of the equation.
-1d + d = -1 + d

Combine like terms: -1d + d = 0
0 = -1 + d

Simplifying
0 = -1 + d

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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