-7n+2=-4(n-5)

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Solution for -7n+2=-4(n-5) equation: 


Simplifying
-7n + 2 = -4(n + -5)

Reorder the terms:
2 + -7n = -4(n + -5)

Reorder the terms:
2 + -7n = -4(-5 + n)
2 + -7n = (-5 * -4 + n * -4)
2 + -7n = (20 + -4n)

Solving
2 + -7n = 20 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
2 + -7n + 4n = 20 + -4n + 4n

Combine like terms: -7n + 4n = -3n
2 + -3n = 20 + -4n + 4n

Combine like terms: -4n + 4n = 0
2 + -3n = 20 + 0
2 + -3n = 20

Add '-2' to each side of the equation.
2 + -2 + -3n = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = 20 + -2
-3n = 20 + -2

Combine like terms: 20 + -2 = 18
-3n = 18

Divide each side by '-3'.
n = -6

Simplifying
n = -6

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