n*7+7=9*n-1

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Solution for n*7+7=9*n-1 equation:


Simplifying
n * 7 + 7 = 9n + -1

Reorder the terms for easier multiplication:
7n + 7 = 9n + -1

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

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

Solving
7 + 7n = -1 + 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.
7 + 7n + -9n = -1 + 9n + -9n

Combine like terms: 7n + -9n = -2n
7 + -2n = -1 + 9n + -9n

Combine like terms: 9n + -9n = 0
7 + -2n = -1 + 0
7 + -2n = -1

Add '-7' to each side of the equation.
7 + -7 + -2n = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2n = -1 + -7
-2n = -1 + -7

Combine like terms: -1 + -7 = -8
-2n = -8

Divide each side by '-2'.
n = 4

Simplifying
n = 4

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