4(n-6)+7(4-2n)=34

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Solution for 4(n-6)+7(4-2n)=34 equation: 


Simplifying
4(n + -6) + 7(4 + -2n) = 34

Reorder the terms:
4(-6 + n) + 7(4 + -2n) = 34
(-6 * 4 + n * 4) + 7(4 + -2n) = 34
(-24 + 4n) + 7(4 + -2n) = 34
-24 + 4n + (4 * 7 + -2n * 7) = 34
-24 + 4n + (28 + -14n) = 34

Reorder the terms:
-24 + 28 + 4n + -14n = 34

Combine like terms: -24 + 28 = 4
4 + 4n + -14n = 34

Combine like terms: 4n + -14n = -10n
4 + -10n = 34

Solving
4 + -10n = 34

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + -10n = 34 + -4

Combine like terms: 4 + -4 = 0
0 + -10n = 34 + -4
-10n = 34 + -4

Combine like terms: 34 + -4 = 30
-10n = 30

Divide each side by '-10'.
n = -3

Simplifying
n = -3

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