8-8(8n+6)=-8(5n+1)-2

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Solution for 8-8(8n+6)=-8(5n+1)-2 equation: 


Simplifying
8 + -8(8n + 6) = -8(5n + 1) + -2

Reorder the terms:
8 + -8(6 + 8n) = -8(5n + 1) + -2
8 + (6 * -8 + 8n * -8) = -8(5n + 1) + -2
8 + (-48 + -64n) = -8(5n + 1) + -2

Combine like terms: 8 + -48 = -40
-40 + -64n = -8(5n + 1) + -2

Reorder the terms:
-40 + -64n = -8(1 + 5n) + -2
-40 + -64n = (1 * -8 + 5n * -8) + -2
-40 + -64n = (-8 + -40n) + -2

Reorder the terms:
-40 + -64n = -8 + -2 + -40n

Combine like terms: -8 + -2 = -10
-40 + -64n = -10 + -40n

Solving
-40 + -64n = -10 + -40n

Solving for variable 'n'.

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

Add '40n' to each side of the equation.
-40 + -64n + 40n = -10 + -40n + 40n

Combine like terms: -64n + 40n = -24n
-40 + -24n = -10 + -40n + 40n

Combine like terms: -40n + 40n = 0
-40 + -24n = -10 + 0
-40 + -24n = -10

Add '40' to each side of the equation.
-40 + 40 + -24n = -10 + 40

Combine like terms: -40 + 40 = 0
0 + -24n = -10 + 40
-24n = -10 + 40

Combine like terms: -10 + 40 = 30
-24n = 30

Divide each side by '-24'.
n = -1.25

Simplifying
n = -1.25

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