-14=-7(-4n-1)+7

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Solution for -14=-7(-4n-1)+7 equation:


Simplifying
-14 = -7(-4n + -1) + 7

Reorder the terms:
-14 = -7(-1 + -4n) + 7
-14 = (-1 * -7 + -4n * -7) + 7
-14 = (7 + 28n) + 7

Reorder the terms:
-14 = 7 + 7 + 28n

Combine like terms: 7 + 7 = 14
-14 = 14 + 28n

Solving
-14 = 14 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
-14 + -28n = 14 + 28n + -28n

Combine like terms: 28n + -28n = 0
-14 + -28n = 14 + 0
-14 + -28n = 14

Add '14' to each side of the equation.
-14 + 14 + -28n = 14 + 14

Combine like terms: -14 + 14 = 0
0 + -28n = 14 + 14
-28n = 14 + 14

Combine like terms: 14 + 14 = 28
-28n = 28

Divide each side by '-28'.
n = -1

Simplifying
n = -1

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