2n+19=2(100+1+9)+1

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Solution for 2n+19=2(100+1+9)+1 equation: 


Simplifying
2n + 19 = 2(100 + 1 + 9) + 1

Reorder the terms:
19 + 2n = 2(100 + 1 + 9) + 1

Combine like terms: 100 + 1 = 101
19 + 2n = 2(101 + 9) + 1

Combine like terms: 101 + 9 = 110
19 + 2n = 2(110) + 1

Multiply 2 * 110
19 + 2n = 220 + 1

Combine like terms: 220 + 1 = 221
19 + 2n = 221

Solving
19 + 2n = 221

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 = 221 + -19

Combine like terms: 19 + -19 = 0
0 + 2n = 221 + -19
2n = 221 + -19

Combine like terms: 221 + -19 = 202
2n = 202

Divide each side by '2'.
n = 101

Simplifying
n = 101

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