5(3n+4)=6(9n+5)+2

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Solution for 5(3n+4)=6(9n+5)+2 equation:


Simplifying
5(3n + 4) = 6(9n + 5) + 2

Reorder the terms:
5(4 + 3n) = 6(9n + 5) + 2
(4 * 5 + 3n * 5) = 6(9n + 5) + 2
(20 + 15n) = 6(9n + 5) + 2

Reorder the terms:
20 + 15n = 6(5 + 9n) + 2
20 + 15n = (5 * 6 + 9n * 6) + 2
20 + 15n = (30 + 54n) + 2

Reorder the terms:
20 + 15n = 30 + 2 + 54n

Combine like terms: 30 + 2 = 32
20 + 15n = 32 + 54n

Solving
20 + 15n = 32 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
20 + 15n + -54n = 32 + 54n + -54n

Combine like terms: 15n + -54n = -39n
20 + -39n = 32 + 54n + -54n

Combine like terms: 54n + -54n = 0
20 + -39n = 32 + 0
20 + -39n = 32

Add '-20' to each side of the equation.
20 + -20 + -39n = 32 + -20

Combine like terms: 20 + -20 = 0
0 + -39n = 32 + -20
-39n = 32 + -20

Combine like terms: 32 + -20 = 12
-39n = 12

Divide each side by '-39'.
n = -0.3076923077

Simplifying
n = -0.3076923077

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