n+5(-8n+6)=225

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Solution for n+5(-8n+6)=225 equation:


Simplifying
n + 5(-8n + 6) = 225

Reorder the terms:
n + 5(6 + -8n) = 225
n + (6 * 5 + -8n * 5) = 225
n + (30 + -40n) = 225

Reorder the terms:
30 + n + -40n = 225

Combine like terms: n + -40n = -39n
30 + -39n = 225

Solving
30 + -39n = 225

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + -39n = 225 + -30

Combine like terms: 30 + -30 = 0
0 + -39n = 225 + -30
-39n = 225 + -30

Combine like terms: 225 + -30 = 195
-39n = 195

Divide each side by '-39'.
n = -5

Simplifying
n = -5

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