12(n+14)-14=14(n+7)

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Solution for 12(n+14)-14=14(n+7) equation:


Simplifying
12(n + 14) + -14 = 14(n + 7)

Reorder the terms:
12(14 + n) + -14 = 14(n + 7)
(14 * 12 + n * 12) + -14 = 14(n + 7)
(168 + 12n) + -14 = 14(n + 7)

Reorder the terms:
168 + -14 + 12n = 14(n + 7)

Combine like terms: 168 + -14 = 154
154 + 12n = 14(n + 7)

Reorder the terms:
154 + 12n = 14(7 + n)
154 + 12n = (7 * 14 + n * 14)
154 + 12n = (98 + 14n)

Solving
154 + 12n = 98 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
154 + 12n + -14n = 98 + 14n + -14n

Combine like terms: 12n + -14n = -2n
154 + -2n = 98 + 14n + -14n

Combine like terms: 14n + -14n = 0
154 + -2n = 98 + 0
154 + -2n = 98

Add '-154' to each side of the equation.
154 + -154 + -2n = 98 + -154

Combine like terms: 154 + -154 = 0
0 + -2n = 98 + -154
-2n = 98 + -154

Combine like terms: 98 + -154 = -56
-2n = -56

Divide each side by '-2'.
n = 28

Simplifying
n = 28

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