-8(n+8)-(4n-7)=-5n

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Solution for -8(n+8)-(4n-7)=-5n equation:


Simplifying
-8(n + 8) + -1(4n + -7) = -5n

Reorder the terms:
-8(8 + n) + -1(4n + -7) = -5n
(8 * -8 + n * -8) + -1(4n + -7) = -5n
(-64 + -8n) + -1(4n + -7) = -5n

Reorder the terms:
-64 + -8n + -1(-7 + 4n) = -5n
-64 + -8n + (-7 * -1 + 4n * -1) = -5n
-64 + -8n + (7 + -4n) = -5n

Reorder the terms:
-64 + 7 + -8n + -4n = -5n

Combine like terms: -64 + 7 = -57
-57 + -8n + -4n = -5n

Combine like terms: -8n + -4n = -12n
-57 + -12n = -5n

Solving
-57 + -12n = -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-57 + -12n + 5n = -5n + 5n

Combine like terms: -12n + 5n = -7n
-57 + -7n = -5n + 5n

Combine like terms: -5n + 5n = 0
-57 + -7n = 0

Add '57' to each side of the equation.
-57 + 57 + -7n = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -7n = 0 + 57
-7n = 0 + 57

Combine like terms: 0 + 57 = 57
-7n = 57

Divide each side by '-7'.
n = -8.142857143

Simplifying
n = -8.142857143

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