5n+2=20n-43

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Solution for 5n+2=20n-43 equation: 


Simplifying
5n + 2 = 20n + -43

Reorder the terms:
2 + 5n = 20n + -43

Reorder the terms:
2 + 5n = -43 + 20n

Solving
2 + 5n = -43 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
2 + 5n + -20n = -43 + 20n + -20n

Combine like terms: 5n + -20n = -15n
2 + -15n = -43 + 20n + -20n

Combine like terms: 20n + -20n = 0
2 + -15n = -43 + 0
2 + -15n = -43

Add '-2' to each side of the equation.
2 + -2 + -15n = -43 + -2

Combine like terms: 2 + -2 = 0
0 + -15n = -43 + -2
-15n = -43 + -2

Combine like terms: -43 + -2 = -45
-15n = -45

Divide each side by '-15'.
n = 3

Simplifying
n = 3

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