-7(n-7)=6n+42

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Solution for -7(n-7)=6n+42 equation:


Simplifying
-7(n + -7) = 6n + 42

Reorder the terms:
-7(-7 + n) = 6n + 42
(-7 * -7 + n * -7) = 6n + 42
(49 + -7n) = 6n + 42

Reorder the terms:
49 + -7n = 42 + 6n

Solving
49 + -7n = 42 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
49 + -7n + -6n = 42 + 6n + -6n

Combine like terms: -7n + -6n = -13n
49 + -13n = 42 + 6n + -6n

Combine like terms: 6n + -6n = 0
49 + -13n = 42 + 0
49 + -13n = 42

Add '-49' to each side of the equation.
49 + -49 + -13n = 42 + -49

Combine like terms: 49 + -49 = 0
0 + -13n = 42 + -49
-13n = 42 + -49

Combine like terms: 42 + -49 = -7
-13n = -7

Divide each side by '-13'.
n = 0.5384615385

Simplifying
n = 0.5384615385

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