2(1-7n)=-9n+47

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Solution for 2(1-7n)=-9n+47 equation: 


Simplifying
2(1 + -7n) = -9n + 47
(1 * 2 + -7n * 2) = -9n + 47
(2 + -14n) = -9n + 47

Reorder the terms:
2 + -14n = 47 + -9n

Solving
2 + -14n = 47 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
2 + -14n + 9n = 47 + -9n + 9n

Combine like terms: -14n + 9n = -5n
2 + -5n = 47 + -9n + 9n

Combine like terms: -9n + 9n = 0
2 + -5n = 47 + 0
2 + -5n = 47

Add '-2' to each side of the equation.
2 + -2 + -5n = 47 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 47 + -2
-5n = 47 + -2

Combine like terms: 47 + -2 = 45
-5n = 45

Divide each side by '-5'.
n = -9

Simplifying
n = -9

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