3(1+7n)+2=5-3n

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Solution for 3(1+7n)+2=5-3n equation:


Simplifying
3(1 + 7n) + 2 = 5 + -3n
(1 * 3 + 7n * 3) + 2 = 5 + -3n
(3 + 21n) + 2 = 5 + -3n

Reorder the terms:
3 + 2 + 21n = 5 + -3n

Combine like terms: 3 + 2 = 5
5 + 21n = 5 + -3n

Add '-5' to each side of the equation.
5 + -5 + 21n = 5 + -5 + -3n

Combine like terms: 5 + -5 = 0
0 + 21n = 5 + -5 + -3n
21n = 5 + -5 + -3n

Combine like terms: 5 + -5 = 0
21n = 0 + -3n
21n = -3n

Solving
21n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
21n + 3n = -3n + 3n

Combine like terms: 21n + 3n = 24n
24n = -3n + 3n

Combine like terms: -3n + 3n = 0
24n = 0

Divide each side by '24'.
n = 0

Simplifying
n = 0

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