13(n-1)=5(2n+7)

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Solution for 13(n-1)=5(2n+7) equation:


Simplifying
13(n + -1) = 5(2n + 7)

Reorder the terms:
13(-1 + n) = 5(2n + 7)
(-1 * 13 + n * 13) = 5(2n + 7)
(-13 + 13n) = 5(2n + 7)

Reorder the terms:
-13 + 13n = 5(7 + 2n)
-13 + 13n = (7 * 5 + 2n * 5)
-13 + 13n = (35 + 10n)

Solving
-13 + 13n = 35 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-13 + 13n + -10n = 35 + 10n + -10n

Combine like terms: 13n + -10n = 3n
-13 + 3n = 35 + 10n + -10n

Combine like terms: 10n + -10n = 0
-13 + 3n = 35 + 0
-13 + 3n = 35

Add '13' to each side of the equation.
-13 + 13 + 3n = 35 + 13

Combine like terms: -13 + 13 = 0
0 + 3n = 35 + 13
3n = 35 + 13

Combine like terms: 35 + 13 = 48
3n = 48

Divide each side by '3'.
n = 16

Simplifying
n = 16

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