3(6+n)=5(n+7)

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Solution for 3(6+n)=5(n+7) equation:


Simplifying
3(6 + n) = 5(n + 7)
(6 * 3 + n * 3) = 5(n + 7)
(18 + 3n) = 5(n + 7)

Reorder the terms:
18 + 3n = 5(7 + n)
18 + 3n = (7 * 5 + n * 5)
18 + 3n = (35 + 5n)

Solving
18 + 3n = 35 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
18 + 3n + -5n = 35 + 5n + -5n

Combine like terms: 3n + -5n = -2n
18 + -2n = 35 + 5n + -5n

Combine like terms: 5n + -5n = 0
18 + -2n = 35 + 0
18 + -2n = 35

Add '-18' to each side of the equation.
18 + -18 + -2n = 35 + -18

Combine like terms: 18 + -18 = 0
0 + -2n = 35 + -18
-2n = 35 + -18

Combine like terms: 35 + -18 = 17
-2n = 17

Divide each side by '-2'.
n = -8.5

Simplifying
n = -8.5

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