5(3n)+14+6n=21-2n

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Solution for 5(3n)+14+6n=21-2n equation:


Simplifying
5(3n) + 14 + 6n = 21 + -2n

Remove parenthesis around (3n)
5 * 3n + 14 + 6n = 21 + -2n

Multiply 5 * 3
15n + 14 + 6n = 21 + -2n

Reorder the terms:
14 + 15n + 6n = 21 + -2n

Combine like terms: 15n + 6n = 21n
14 + 21n = 21 + -2n

Solving
14 + 21n = 21 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
14 + 21n + 2n = 21 + -2n + 2n

Combine like terms: 21n + 2n = 23n
14 + 23n = 21 + -2n + 2n

Combine like terms: -2n + 2n = 0
14 + 23n = 21 + 0
14 + 23n = 21

Add '-14' to each side of the equation.
14 + -14 + 23n = 21 + -14

Combine like terms: 14 + -14 = 0
0 + 23n = 21 + -14
23n = 21 + -14

Combine like terms: 21 + -14 = 7
23n = 7

Divide each side by '23'.
n = 0.3043478261

Simplifying
n = 0.3043478261

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