1-7(8n-6)=-17+4n

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Solution for 1-7(8n-6)=-17+4n equation: 


Simplifying
1 + -7(8n + -6) = -17 + 4n

Reorder the terms:
1 + -7(-6 + 8n) = -17 + 4n
1 + (-6 * -7 + 8n * -7) = -17 + 4n
1 + (42 + -56n) = -17 + 4n

Combine like terms: 1 + 42 = 43
43 + -56n = -17 + 4n

Solving
43 + -56n = -17 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
43 + -56n + -4n = -17 + 4n + -4n

Combine like terms: -56n + -4n = -60n
43 + -60n = -17 + 4n + -4n

Combine like terms: 4n + -4n = 0
43 + -60n = -17 + 0
43 + -60n = -17

Add '-43' to each side of the equation.
43 + -43 + -60n = -17 + -43

Combine like terms: 43 + -43 = 0
0 + -60n = -17 + -43
-60n = -17 + -43

Combine like terms: -17 + -43 = -60
-60n = -60

Divide each side by '-60'.
n = 1

Simplifying
n = 1

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