19-2n=n+8(-2+4n)

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Solution for 19-2n=n+8(-2+4n) equation: 


Simplifying
19 + -2n = n + 8(-2 + 4n)
19 + -2n = n + (-2 * 8 + 4n * 8)
19 + -2n = n + (-16 + 32n)

Reorder the terms:
19 + -2n = -16 + n + 32n

Combine like terms: n + 32n = 33n
19 + -2n = -16 + 33n

Solving
19 + -2n = -16 + 33n

Solving for variable 'n'.

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

Add '-33n' to each side of the equation.
19 + -2n + -33n = -16 + 33n + -33n

Combine like terms: -2n + -33n = -35n
19 + -35n = -16 + 33n + -33n

Combine like terms: 33n + -33n = 0
19 + -35n = -16 + 0
19 + -35n = -16

Add '-19' to each side of the equation.
19 + -19 + -35n = -16 + -19

Combine like terms: 19 + -19 = 0
0 + -35n = -16 + -19
-35n = -16 + -19

Combine like terms: -16 + -19 = -35
-35n = -35

Divide each side by '-35'.
n = 1

Simplifying
n = 1

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