4(n-9)=2n-19

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Solution for 4(n-9)=2n-19 equation:


Simplifying
4(n + -9) = 2n + -19

Reorder the terms:
4(-9 + n) = 2n + -19
(-9 * 4 + n * 4) = 2n + -19
(-36 + 4n) = 2n + -19

Reorder the terms:
-36 + 4n = -19 + 2n

Solving
-36 + 4n = -19 + 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.
-36 + 4n + -2n = -19 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-36 + 2n = -19 + 2n + -2n

Combine like terms: 2n + -2n = 0
-36 + 2n = -19 + 0
-36 + 2n = -19

Add '36' to each side of the equation.
-36 + 36 + 2n = -19 + 36

Combine like terms: -36 + 36 = 0
0 + 2n = -19 + 36
2n = -19 + 36

Combine like terms: -19 + 36 = 17
2n = 17

Divide each side by '2'.
n = 8.5

Simplifying
n = 8.5

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