101=7(n+3)+3n

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Solution for 101=7(n+3)+3n equation:


Simplifying
101 = 7(n + 3) + 3n

Reorder the terms:
101 = 7(3 + n) + 3n
101 = (3 * 7 + n * 7) + 3n
101 = (21 + 7n) + 3n

Combine like terms: 7n + 3n = 10n
101 = 21 + 10n

Solving
101 = 21 + 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.
101 + -10n = 21 + 10n + -10n

Combine like terms: 10n + -10n = 0
101 + -10n = 21 + 0
101 + -10n = 21

Add '-101' to each side of the equation.
101 + -101 + -10n = 21 + -101

Combine like terms: 101 + -101 = 0
0 + -10n = 21 + -101
-10n = 21 + -101

Combine like terms: 21 + -101 = -80
-10n = -80

Divide each side by '-10'.
n = 8

Simplifying
n = 8

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