3(n-7)=4n-2

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Solution for 3(n-7)=4n-2 equation:


Simplifying
3(n + -7) = 4n + -2

Reorder the terms:
3(-7 + n) = 4n + -2
(-7 * 3 + n * 3) = 4n + -2
(-21 + 3n) = 4n + -2

Reorder the terms:
-21 + 3n = -2 + 4n

Solving
-21 + 3n = -2 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-21 + 3n + -4n = -2 + 4n + -4n

Combine like terms: 3n + -4n = -1n
-21 + -1n = -2 + 4n + -4n

Combine like terms: 4n + -4n = 0
-21 + -1n = -2 + 0
-21 + -1n = -2

Add '21' to each side of the equation.
-21 + 21 + -1n = -2 + 21

Combine like terms: -21 + 21 = 0
0 + -1n = -2 + 21
-1n = -2 + 21

Combine like terms: -2 + 21 = 19
-1n = 19

Divide each side by '-1'.
n = -19

Simplifying
n = -19

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