5n-3=2(9n-7)+14-6n

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Solution for 5n-3=2(9n-7)+14-6n equation:


Simplifying
5n + -3 = 2(9n + -7) + 14 + -6n

Reorder the terms:
-3 + 5n = 2(9n + -7) + 14 + -6n

Reorder the terms:
-3 + 5n = 2(-7 + 9n) + 14 + -6n
-3 + 5n = (-7 * 2 + 9n * 2) + 14 + -6n
-3 + 5n = (-14 + 18n) + 14 + -6n

Reorder the terms:
-3 + 5n = -14 + 14 + 18n + -6n

Combine like terms: -14 + 14 = 0
-3 + 5n = 0 + 18n + -6n
-3 + 5n = 18n + -6n

Combine like terms: 18n + -6n = 12n
-3 + 5n = 12n

Solving
-3 + 5n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-3 + 5n + -12n = 12n + -12n

Combine like terms: 5n + -12n = -7n
-3 + -7n = 12n + -12n

Combine like terms: 12n + -12n = 0
-3 + -7n = 0

Add '3' to each side of the equation.
-3 + 3 + -7n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7n = 0 + 3
-7n = 0 + 3

Combine like terms: 0 + 3 = 3
-7n = 3

Divide each side by '-7'.
n = -0.4285714286

Simplifying
n = -0.4285714286

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