6n-2(7+3n)=-7-(n+7)

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Solution for 6n-2(7+3n)=-7-(n+7) equation:


Simplifying
6n + -2(7 + 3n) = -7 + -1(n + 7)
6n + (7 * -2 + 3n * -2) = -7 + -1(n + 7)
6n + (-14 + -6n) = -7 + -1(n + 7)

Reorder the terms:
-14 + 6n + -6n = -7 + -1(n + 7)

Combine like terms: 6n + -6n = 0
-14 + 0 = -7 + -1(n + 7)
-14 = -7 + -1(n + 7)

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

Combine like terms: -7 + -7 = -14
-14 = -14 + -1n

Add '14' to each side of the equation.
-14 + 14 = -14 + 14 + -1n

Combine like terms: -14 + 14 = 0
0 = -14 + 14 + -1n

Combine like terms: -14 + 14 = 0
0 = 0 + -1n
0 = -1n

Solving
0 = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
0 + n = -1n + n
Remove the zero:
n = -1n + n

Combine like terms: -1n + n = 0
n = 0

Simplifying
n = 0

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