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

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


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

Reorder the terms:
7(5 + 4n) = 5(2n + 7)
(5 * 7 + 4n * 7) = 5(2n + 7)
(35 + 28n) = 5(2n + 7)

Reorder the terms:
35 + 28n = 5(7 + 2n)
35 + 28n = (7 * 5 + 2n * 5)
35 + 28n = (35 + 10n)

Add '-35' to each side of the equation.
35 + -35 + 28n = 35 + -35 + 10n

Combine like terms: 35 + -35 = 0
0 + 28n = 35 + -35 + 10n
28n = 35 + -35 + 10n

Combine like terms: 35 + -35 = 0
28n = 0 + 10n
28n = 10n

Solving
28n = 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.
28n + -10n = 10n + -10n

Combine like terms: 28n + -10n = 18n
18n = 10n + -10n

Combine like terms: 10n + -10n = 0
18n = 0

Divide each side by '18'.
n = 0

Simplifying
n = 0

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