36=3n+7(n-2)

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Solution for 36=3n+7(n-2) equation:


Simplifying
36 = 3n + 7(n + -2)

Reorder the terms:
36 = 3n + 7(-2 + n)
36 = 3n + (-2 * 7 + n * 7)
36 = 3n + (-14 + 7n)

Reorder the terms:
36 = -14 + 3n + 7n

Combine like terms: 3n + 7n = 10n
36 = -14 + 10n

Solving
36 = -14 + 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.
36 + -10n = -14 + 10n + -10n

Combine like terms: 10n + -10n = 0
36 + -10n = -14 + 0
36 + -10n = -14

Add '-36' to each side of the equation.
36 + -36 + -10n = -14 + -36

Combine like terms: 36 + -36 = 0
0 + -10n = -14 + -36
-10n = -14 + -36

Combine like terms: -14 + -36 = -50
-10n = -50

Divide each side by '-10'.
n = 5

Simplifying
n = 5

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