-6-7(n+7)=-(9n+6)+1

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Solution for -6-7(n+7)=-(9n+6)+1 equation:


Simplifying
-6 + -7(n + 7) = -1(9n + 6) + 1

Reorder the terms:
-6 + -7(7 + n) = -1(9n + 6) + 1
-6 + (7 * -7 + n * -7) = -1(9n + 6) + 1
-6 + (-49 + -7n) = -1(9n + 6) + 1

Combine like terms: -6 + -49 = -55
-55 + -7n = -1(9n + 6) + 1

Reorder the terms:
-55 + -7n = -1(6 + 9n) + 1
-55 + -7n = (6 * -1 + 9n * -1) + 1
-55 + -7n = (-6 + -9n) + 1

Reorder the terms:
-55 + -7n = -6 + 1 + -9n

Combine like terms: -6 + 1 = -5
-55 + -7n = -5 + -9n

Solving
-55 + -7n = -5 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-55 + -7n + 9n = -5 + -9n + 9n

Combine like terms: -7n + 9n = 2n
-55 + 2n = -5 + -9n + 9n

Combine like terms: -9n + 9n = 0
-55 + 2n = -5 + 0
-55 + 2n = -5

Add '55' to each side of the equation.
-55 + 55 + 2n = -5 + 55

Combine like terms: -55 + 55 = 0
0 + 2n = -5 + 55
2n = -5 + 55

Combine like terms: -5 + 55 = 50
2n = 50

Divide each side by '2'.
n = 25

Simplifying
n = 25

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