-7(n-6)=34-3n

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Solution for -7(n-6)=34-3n equation:


Simplifying
-7(n + -6) = 34 + -3n

Reorder the terms:
-7(-6 + n) = 34 + -3n
(-6 * -7 + n * -7) = 34 + -3n
(42 + -7n) = 34 + -3n

Solving
42 + -7n = 34 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
42 + -7n + 3n = 34 + -3n + 3n

Combine like terms: -7n + 3n = -4n
42 + -4n = 34 + -3n + 3n

Combine like terms: -3n + 3n = 0
42 + -4n = 34 + 0
42 + -4n = 34

Add '-42' to each side of the equation.
42 + -42 + -4n = 34 + -42

Combine like terms: 42 + -42 = 0
0 + -4n = 34 + -42
-4n = 34 + -42

Combine like terms: 34 + -42 = -8
-4n = -8

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

Simplifying
n = 2

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