5(8n+6)+4=-38+4n

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Solution for 5(8n+6)+4=-38+4n equation:


Simplifying
5(8n + 6) + 4 = -38 + 4n

Reorder the terms:
5(6 + 8n) + 4 = -38 + 4n
(6 * 5 + 8n * 5) + 4 = -38 + 4n
(30 + 40n) + 4 = -38 + 4n

Reorder the terms:
30 + 4 + 40n = -38 + 4n

Combine like terms: 30 + 4 = 34
34 + 40n = -38 + 4n

Solving
34 + 40n = -38 + 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.
34 + 40n + -4n = -38 + 4n + -4n

Combine like terms: 40n + -4n = 36n
34 + 36n = -38 + 4n + -4n

Combine like terms: 4n + -4n = 0
34 + 36n = -38 + 0
34 + 36n = -38

Add '-34' to each side of the equation.
34 + -34 + 36n = -38 + -34

Combine like terms: 34 + -34 = 0
0 + 36n = -38 + -34
36n = -38 + -34

Combine like terms: -38 + -34 = -72
36n = -72

Divide each side by '36'.
n = -2

Simplifying
n = -2

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