5(2n+5)=6(4n+6)+7

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Solution for 5(2n+5)=6(4n+6)+7 equation: 


Simplifying
5(2n + 5) = 6(4n + 6) + 7

Reorder the terms:
5(5 + 2n) = 6(4n + 6) + 7
(5 * 5 + 2n * 5) = 6(4n + 6) + 7
(25 + 10n) = 6(4n + 6) + 7

Reorder the terms:
25 + 10n = 6(6 + 4n) + 7
25 + 10n = (6 * 6 + 4n * 6) + 7
25 + 10n = (36 + 24n) + 7

Reorder the terms:
25 + 10n = 36 + 7 + 24n

Combine like terms: 36 + 7 = 43
25 + 10n = 43 + 24n

Solving
25 + 10n = 43 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
25 + 10n + -24n = 43 + 24n + -24n

Combine like terms: 10n + -24n = -14n
25 + -14n = 43 + 24n + -24n

Combine like terms: 24n + -24n = 0
25 + -14n = 43 + 0
25 + -14n = 43

Add '-25' to each side of the equation.
25 + -25 + -14n = 43 + -25

Combine like terms: 25 + -25 = 0
0 + -14n = 43 + -25
-14n = 43 + -25

Combine like terms: 43 + -25 = 18
-14n = 18

Divide each side by '-14'.
n = -1.285714286

Simplifying
n = -1.285714286

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