5(3n+4)=6(5n+7)+4

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Solution for 5(3n+4)=6(5n+7)+4 equation: 


Simplifying
5(3n + 4) = 6(5n + 7) + 4

Reorder the terms:
5(4 + 3n) = 6(5n + 7) + 4
(4 * 5 + 3n * 5) = 6(5n + 7) + 4
(20 + 15n) = 6(5n + 7) + 4

Reorder the terms:
20 + 15n = 6(7 + 5n) + 4
20 + 15n = (7 * 6 + 5n * 6) + 4
20 + 15n = (42 + 30n) + 4

Reorder the terms:
20 + 15n = 42 + 4 + 30n

Combine like terms: 42 + 4 = 46
20 + 15n = 46 + 30n

Solving
20 + 15n = 46 + 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.
20 + 15n + -30n = 46 + 30n + -30n

Combine like terms: 15n + -30n = -15n
20 + -15n = 46 + 30n + -30n

Combine like terms: 30n + -30n = 0
20 + -15n = 46 + 0
20 + -15n = 46

Add '-20' to each side of the equation.
20 + -20 + -15n = 46 + -20

Combine like terms: 20 + -20 = 0
0 + -15n = 46 + -20
-15n = 46 + -20

Combine like terms: 46 + -20 = 26
-15n = 26

Divide each side by '-15'.
n = -1.733333333

Simplifying
n = -1.733333333

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