3(n-1)=4n-7

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Solution for 3(n-1)=4n-7 equation:


Simplifying
3(n + -1) = 4n + -7

Reorder the terms:
3(-1 + n) = 4n + -7
(-1 * 3 + n * 3) = 4n + -7
(-3 + 3n) = 4n + -7

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

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

Combine like terms: 3n + -4n = -1n
-3 + -1n = -7 + 4n + -4n

Combine like terms: 4n + -4n = 0
-3 + -1n = -7 + 0
-3 + -1n = -7

Add '3' to each side of the equation.
-3 + 3 + -1n = -7 + 3

Combine like terms: -3 + 3 = 0
0 + -1n = -7 + 3
-1n = -7 + 3

Combine like terms: -7 + 3 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4

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