2n+19=2(k+19)+1

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Solution for 2n+19=2(k+19)+1 equation: 


Simplifying
2n + 19 = 2(k + 19) + 1

Reorder the terms:
19 + 2n = 2(k + 19) + 1

Reorder the terms:
19 + 2n = 2(19 + k) + 1
19 + 2n = (19 * 2 + k * 2) + 1
19 + 2n = (38 + 2k) + 1

Reorder the terms:
19 + 2n = 38 + 1 + 2k

Combine like terms: 38 + 1 = 39
19 + 2n = 39 + 2k

Solving
19 + 2n = 39 + 2k

Solving for variable 'n'.

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

Add '-19' to each side of the equation.
19 + -19 + 2n = 39 + -19 + 2k

Combine like terms: 19 + -19 = 0
0 + 2n = 39 + -19 + 2k
2n = 39 + -19 + 2k

Combine like terms: 39 + -19 = 20
2n = 20 + 2k

Divide each side by '2'.
n = 10 + k

Simplifying
n = 10 + k

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