-7(-4n-6)=-38+8n

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Solution for -7(-4n-6)=-38+8n equation:


Simplifying
-7(-4n + -6) = -38 + 8n

Reorder the terms:
-7(-6 + -4n) = -38 + 8n
(-6 * -7 + -4n * -7) = -38 + 8n
(42 + 28n) = -38 + 8n

Solving
42 + 28n = -38 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
42 + 28n + -8n = -38 + 8n + -8n

Combine like terms: 28n + -8n = 20n
42 + 20n = -38 + 8n + -8n

Combine like terms: 8n + -8n = 0
42 + 20n = -38 + 0
42 + 20n = -38

Add '-42' to each side of the equation.
42 + -42 + 20n = -38 + -42

Combine like terms: 42 + -42 = 0
0 + 20n = -38 + -42
20n = -38 + -42

Combine like terms: -38 + -42 = -80
20n = -80

Divide each side by '20'.
n = -4

Simplifying
n = -4

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