5(1-3n)=6(n-2)

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Solution for 5(1-3n)=6(n-2) equation:


Simplifying
5(1 + -3n) = 6(n + -2)
(1 * 5 + -3n * 5) = 6(n + -2)
(5 + -15n) = 6(n + -2)

Reorder the terms:
5 + -15n = 6(-2 + n)
5 + -15n = (-2 * 6 + n * 6)
5 + -15n = (-12 + 6n)

Solving
5 + -15n = -12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
5 + -15n + -6n = -12 + 6n + -6n

Combine like terms: -15n + -6n = -21n
5 + -21n = -12 + 6n + -6n

Combine like terms: 6n + -6n = 0
5 + -21n = -12 + 0
5 + -21n = -12

Add '-5' to each side of the equation.
5 + -5 + -21n = -12 + -5

Combine like terms: 5 + -5 = 0
0 + -21n = -12 + -5
-21n = -12 + -5

Combine like terms: -12 + -5 = -17
-21n = -17

Divide each side by '-21'.
n = 0.8095238095

Simplifying
n = 0.8095238095

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