21=2(3n+7)+15

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Solution for 21=2(3n+7)+15 equation:


Simplifying
21 = 2(3n + 7) + 15

Reorder the terms:
21 = 2(7 + 3n) + 15
21 = (7 * 2 + 3n * 2) + 15
21 = (14 + 6n) + 15

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

Combine like terms: 14 + 15 = 29
21 = 29 + 6n

Solving
21 = 29 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
21 + -6n = 29 + 6n + -6n

Combine like terms: 6n + -6n = 0
21 + -6n = 29 + 0
21 + -6n = 29

Add '-21' to each side of the equation.
21 + -21 + -6n = 29 + -21

Combine like terms: 21 + -21 = 0
0 + -6n = 29 + -21
-6n = 29 + -21

Combine like terms: 29 + -21 = 8
-6n = 8

Divide each side by '-6'.
n = -1.333333333

Simplifying
n = -1.333333333

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