4n+1=2n-8

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Solution for 4n+1=2n-8 equation:


Simplifying
4n + 1 = 2n + -8

Reorder the terms:
1 + 4n = 2n + -8

Reorder the terms:
1 + 4n = -8 + 2n

Solving
1 + 4n = -8 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
1 + 4n + -2n = -8 + 2n + -2n

Combine like terms: 4n + -2n = 2n
1 + 2n = -8 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 2n = -8 + 0
1 + 2n = -8

Add '-1' to each side of the equation.
1 + -1 + 2n = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = -8 + -1
2n = -8 + -1

Combine like terms: -8 + -1 = -9
2n = -9

Divide each side by '2'.
n = -4.5

Simplifying
n = -4.5

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