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

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Solution for 3(n-6)+34=7n+4 equation: 


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

Reorder the terms:
3(-6 + n) + 34 = 7n + 4
(-6 * 3 + n * 3) + 34 = 7n + 4
(-18 + 3n) + 34 = 7n + 4

Reorder the terms:
-18 + 34 + 3n = 7n + 4

Combine like terms: -18 + 34 = 16
16 + 3n = 7n + 4

Reorder the terms:
16 + 3n = 4 + 7n

Solving
16 + 3n = 4 + 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.
16 + 3n + -7n = 4 + 7n + -7n

Combine like terms: 3n + -7n = -4n
16 + -4n = 4 + 7n + -7n

Combine like terms: 7n + -7n = 0
16 + -4n = 4 + 0
16 + -4n = 4

Add '-16' to each side of the equation.
16 + -16 + -4n = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -4n = 4 + -16
-4n = 4 + -16

Combine like terms: 4 + -16 = -12
-4n = -12

Divide each side by '-4'.
n = 3

Simplifying
n = 3

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