5(n+2+n+3)=6(n+n+2)-18

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Solution for 5(n+2+n+3)=6(n+n+2)-18 equation:


Simplifying
5(n + 2 + n + 3) = 6(n + n + 2) + -18

Reorder the terms:
5(2 + 3 + n + n) = 6(n + n + 2) + -18

Combine like terms: 2 + 3 = 5
5(5 + n + n) = 6(n + n + 2) + -18

Combine like terms: n + n = 2n
5(5 + 2n) = 6(n + n + 2) + -18
(5 * 5 + 2n * 5) = 6(n + n + 2) + -18
(25 + 10n) = 6(n + n + 2) + -18

Reorder the terms:
25 + 10n = 6(2 + n + n) + -18

Combine like terms: n + n = 2n
25 + 10n = 6(2 + 2n) + -18
25 + 10n = (2 * 6 + 2n * 6) + -18
25 + 10n = (12 + 12n) + -18

Reorder the terms:
25 + 10n = 12 + -18 + 12n

Combine like terms: 12 + -18 = -6
25 + 10n = -6 + 12n

Solving
25 + 10n = -6 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
25 + 10n + -12n = -6 + 12n + -12n

Combine like terms: 10n + -12n = -2n
25 + -2n = -6 + 12n + -12n

Combine like terms: 12n + -12n = 0
25 + -2n = -6 + 0
25 + -2n = -6

Add '-25' to each side of the equation.
25 + -25 + -2n = -6 + -25

Combine like terms: 25 + -25 = 0
0 + -2n = -6 + -25
-2n = -6 + -25

Combine like terms: -6 + -25 = -31
-2n = -31

Divide each side by '-2'.
n = 15.5

Simplifying
n = 15.5

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