3(n+7)+15=26-2n+20

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Solution for 3(n+7)+15=26-2n+20 equation:


Simplifying
3(n + 7) + 15 = 26 + -2n + 20

Reorder the terms:
3(7 + n) + 15 = 26 + -2n + 20
(7 * 3 + n * 3) + 15 = 26 + -2n + 20
(21 + 3n) + 15 = 26 + -2n + 20

Reorder the terms:
21 + 15 + 3n = 26 + -2n + 20

Combine like terms: 21 + 15 = 36
36 + 3n = 26 + -2n + 20

Reorder the terms:
36 + 3n = 26 + 20 + -2n

Combine like terms: 26 + 20 = 46
36 + 3n = 46 + -2n

Solving
36 + 3n = 46 + -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.
36 + 3n + 2n = 46 + -2n + 2n

Combine like terms: 3n + 2n = 5n
36 + 5n = 46 + -2n + 2n

Combine like terms: -2n + 2n = 0
36 + 5n = 46 + 0
36 + 5n = 46

Add '-36' to each side of the equation.
36 + -36 + 5n = 46 + -36

Combine like terms: 36 + -36 = 0
0 + 5n = 46 + -36
5n = 46 + -36

Combine like terms: 46 + -36 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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