-2(-7n+1)=-6(9-2n)+9n

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Solution for -2(-7n+1)=-6(9-2n)+9n equation:


Simplifying
-2(-7n + 1) = -6(9 + -2n) + 9n

Reorder the terms:
-2(1 + -7n) = -6(9 + -2n) + 9n
(1 * -2 + -7n * -2) = -6(9 + -2n) + 9n
(-2 + 14n) = -6(9 + -2n) + 9n
-2 + 14n = (9 * -6 + -2n * -6) + 9n
-2 + 14n = (-54 + 12n) + 9n

Combine like terms: 12n + 9n = 21n
-2 + 14n = -54 + 21n

Solving
-2 + 14n = -54 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
-2 + 14n + -21n = -54 + 21n + -21n

Combine like terms: 14n + -21n = -7n
-2 + -7n = -54 + 21n + -21n

Combine like terms: 21n + -21n = 0
-2 + -7n = -54 + 0
-2 + -7n = -54

Add '2' to each side of the equation.
-2 + 2 + -7n = -54 + 2

Combine like terms: -2 + 2 = 0
0 + -7n = -54 + 2
-7n = -54 + 2

Combine like terms: -54 + 2 = -52
-7n = -52

Divide each side by '-7'.
n = 7.428571429

Simplifying
n = 7.428571429

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