7n-2(1-5n)=-38+8n

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Solution for 7n-2(1-5n)=-38+8n equation:


Simplifying
7n + -2(1 + -5n) = -38 + 8n
7n + (1 * -2 + -5n * -2) = -38 + 8n
7n + (-2 + 10n) = -38 + 8n

Reorder the terms:
-2 + 7n + 10n = -38 + 8n

Combine like terms: 7n + 10n = 17n
-2 + 17n = -38 + 8n

Solving
-2 + 17n = -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.
-2 + 17n + -8n = -38 + 8n + -8n

Combine like terms: 17n + -8n = 9n
-2 + 9n = -38 + 8n + -8n

Combine like terms: 8n + -8n = 0
-2 + 9n = -38 + 0
-2 + 9n = -38

Add '2' to each side of the equation.
-2 + 2 + 9n = -38 + 2

Combine like terms: -2 + 2 = 0
0 + 9n = -38 + 2
9n = -38 + 2

Combine like terms: -38 + 2 = -36
9n = -36

Divide each side by '9'.
n = -4

Simplifying
n = -4

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