214=-2n+4(-7n+1)

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Solution for 214=-2n+4(-7n+1) equation:


Simplifying
214 = -2n + 4(-7n + 1)

Reorder the terms:
214 = -2n + 4(1 + -7n)
214 = -2n + (1 * 4 + -7n * 4)
214 = -2n + (4 + -28n)

Reorder the terms:
214 = 4 + -2n + -28n

Combine like terms: -2n + -28n = -30n
214 = 4 + -30n

Solving
214 = 4 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
214 + 30n = 4 + -30n + 30n

Combine like terms: -30n + 30n = 0
214 + 30n = 4 + 0
214 + 30n = 4

Add '-214' to each side of the equation.
214 + -214 + 30n = 4 + -214

Combine like terms: 214 + -214 = 0
0 + 30n = 4 + -214
30n = 4 + -214

Combine like terms: 4 + -214 = -210
30n = -210

Divide each side by '30'.
n = -7

Simplifying
n = -7

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