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 = -37
19 + 2n = -37 + 2k

Solving
19 + 2n = -37 + 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 = -37 + -19 + 2k

Combine like terms: 19 + -19 = 0
0 + 2n = -37 + -19 + 2k
2n = -37 + -19 + 2k

Combine like terms: -37 + -19 = -56
2n = -56 + 2k

Divide each side by '2'.
n = -28 + k

Simplifying
n = -28 + k

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