7(2+3n)=5(2n+4)+5

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Solution for 7(2+3n)=5(2n+4)+5 equation:


Simplifying
7(2 + 3n) = 5(2n + 4) + 5
(2 * 7 + 3n * 7) = 5(2n + 4) + 5
(14 + 21n) = 5(2n + 4) + 5

Reorder the terms:
14 + 21n = 5(4 + 2n) + 5
14 + 21n = (4 * 5 + 2n * 5) + 5
14 + 21n = (20 + 10n) + 5

Reorder the terms:
14 + 21n = 20 + 5 + 10n

Combine like terms: 20 + 5 = 25
14 + 21n = 25 + 10n

Solving
14 + 21n = 25 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
14 + 21n + -10n = 25 + 10n + -10n

Combine like terms: 21n + -10n = 11n
14 + 11n = 25 + 10n + -10n

Combine like terms: 10n + -10n = 0
14 + 11n = 25 + 0
14 + 11n = 25

Add '-14' to each side of the equation.
14 + -14 + 11n = 25 + -14

Combine like terms: 14 + -14 = 0
0 + 11n = 25 + -14
11n = 25 + -14

Combine like terms: 25 + -14 = 11
11n = 11

Divide each side by '11'.
n = 1

Simplifying
n = 1

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