(n+7)=7n+49

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Solution for (n+7)=7n+49 equation:


Simplifying
(n + 7) = 7n + 49

Reorder the terms:
(7 + n) = 7n + 49

Remove parenthesis around (7 + n)
7 + n = 7n + 49

Reorder the terms:
7 + n = 49 + 7n

Solving
7 + n = 49 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
7 + n + -7n = 49 + 7n + -7n

Combine like terms: n + -7n = -6n
7 + -6n = 49 + 7n + -7n

Combine like terms: 7n + -7n = 0
7 + -6n = 49 + 0
7 + -6n = 49

Add '-7' to each side of the equation.
7 + -7 + -6n = 49 + -7

Combine like terms: 7 + -7 = 0
0 + -6n = 49 + -7
-6n = 49 + -7

Combine like terms: 49 + -7 = 42
-6n = 42

Divide each side by '-6'.
n = -7

Simplifying
n = -7

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