212=-2n+4(7n+1)

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Solution for 212=-2n+4(7n+1) equation:


Simplifying
212 = -2n + 4(7n + 1)

Reorder the terms:
212 = -2n + 4(1 + 7n)
212 = -2n + (1 * 4 + 7n * 4)
212 = -2n + (4 + 28n)

Reorder the terms:
212 = 4 + -2n + 28n

Combine like terms: -2n + 28n = 26n
212 = 4 + 26n

Solving
212 = 4 + 26n

Solving for variable 'n'.

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

Add '-26n' to each side of the equation.
212 + -26n = 4 + 26n + -26n

Combine like terms: 26n + -26n = 0
212 + -26n = 4 + 0
212 + -26n = 4

Add '-212' to each side of the equation.
212 + -212 + -26n = 4 + -212

Combine like terms: 212 + -212 = 0
0 + -26n = 4 + -212
-26n = 4 + -212

Combine like terms: 4 + -212 = -208
-26n = -208

Divide each side by '-26'.
n = 8

Simplifying
n = 8

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