5(2n+1)=6(5n+4)+7

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Solution for 5(2n+1)=6(5n+4)+7 equation:


Simplifying
5(2n + 1) = 6(5n + 4) + 7

Reorder the terms:
5(1 + 2n) = 6(5n + 4) + 7
(1 * 5 + 2n * 5) = 6(5n + 4) + 7
(5 + 10n) = 6(5n + 4) + 7

Reorder the terms:
5 + 10n = 6(4 + 5n) + 7
5 + 10n = (4 * 6 + 5n * 6) + 7
5 + 10n = (24 + 30n) + 7

Reorder the terms:
5 + 10n = 24 + 7 + 30n

Combine like terms: 24 + 7 = 31
5 + 10n = 31 + 30n

Solving
5 + 10n = 31 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
5 + 10n + -30n = 31 + 30n + -30n

Combine like terms: 10n + -30n = -20n
5 + -20n = 31 + 30n + -30n

Combine like terms: 30n + -30n = 0
5 + -20n = 31 + 0
5 + -20n = 31

Add '-5' to each side of the equation.
5 + -5 + -20n = 31 + -5

Combine like terms: 5 + -5 = 0
0 + -20n = 31 + -5
-20n = 31 + -5

Combine like terms: 31 + -5 = 26
-20n = 26

Divide each side by '-20'.
n = -1.3

Simplifying
n = -1.3

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