4n=3(n-5)+2

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Solution for 4n=3(n-5)+2 equation:


Simplifying
4n = 3(n + -5) + 2

Reorder the terms:
4n = 3(-5 + n) + 2
4n = (-5 * 3 + n * 3) + 2
4n = (-15 + 3n) + 2

Reorder the terms:
4n = -15 + 2 + 3n

Combine like terms: -15 + 2 = -13
4n = -13 + 3n

Solving
4n = -13 + 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.
4n + -3n = -13 + 3n + -3n

Combine like terms: 4n + -3n = 1n
1n = -13 + 3n + -3n

Combine like terms: 3n + -3n = 0
1n = -13 + 0
1n = -13

Divide each side by '1'.
n = -13

Simplifying
n = -13

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