10(n+1)+20(2n+13)=7

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Solution for 10(n+1)+20(2n+13)=7 equation: 


Simplifying
10(n + 1) + 20(2n + 13) = 7

Reorder the terms:
10(1 + n) + 20(2n + 13) = 7
(1 * 10 + n * 10) + 20(2n + 13) = 7
(10 + 10n) + 20(2n + 13) = 7

Reorder the terms:
10 + 10n + 20(13 + 2n) = 7
10 + 10n + (13 * 20 + 2n * 20) = 7
10 + 10n + (260 + 40n) = 7

Reorder the terms:
10 + 260 + 10n + 40n = 7

Combine like terms: 10 + 260 = 270
270 + 10n + 40n = 7

Combine like terms: 10n + 40n = 50n
270 + 50n = 7

Solving
270 + 50n = 7

Solving for variable 'n'.

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

Add '-270' to each side of the equation.
270 + -270 + 50n = 7 + -270

Combine like terms: 270 + -270 = 0
0 + 50n = 7 + -270
50n = 7 + -270

Combine like terms: 7 + -270 = -263
50n = -263

Divide each side by '50'.
n = -5.26

Simplifying
n = -5.26

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