-19=-1(n-6)+8(5-8n)

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Solution for -19=-1(n-6)+8(5-8n) equation:


Simplifying
-19 = -1(n + -6) + 8(5 + -8n)

Reorder the terms:
-19 = -1(-6 + n) + 8(5 + -8n)
-19 = (-6 * -1 + n * -1) + 8(5 + -8n)
-19 = (6 + -1n) + 8(5 + -8n)
-19 = 6 + -1n + (5 * 8 + -8n * 8)
-19 = 6 + -1n + (40 + -64n)

Reorder the terms:
-19 = 6 + 40 + -1n + -64n

Combine like terms: 6 + 40 = 46
-19 = 46 + -1n + -64n

Combine like terms: -1n + -64n = -65n
-19 = 46 + -65n

Solving
-19 = 46 + -65n

Solving for variable 'n'.

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

Add '65n' to each side of the equation.
-19 + 65n = 46 + -65n + 65n

Combine like terms: -65n + 65n = 0
-19 + 65n = 46 + 0
-19 + 65n = 46

Add '19' to each side of the equation.
-19 + 19 + 65n = 46 + 19

Combine like terms: -19 + 19 = 0
0 + 65n = 46 + 19
65n = 46 + 19

Combine like terms: 46 + 19 = 65
65n = 65

Divide each side by '65'.
n = 1

Simplifying
n = 1

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