3n+5(n-7)=51

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Solution for 3n+5(n-7)=51 equation:


Simplifying
3n + 5(n + -7) = 51

Reorder the terms:
3n + 5(-7 + n) = 51
3n + (-7 * 5 + n * 5) = 51
3n + (-35 + 5n) = 51

Reorder the terms:
-35 + 3n + 5n = 51

Combine like terms: 3n + 5n = 8n
-35 + 8n = 51

Solving
-35 + 8n = 51

Solving for variable 'n'.

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

Add '35' to each side of the equation.
-35 + 35 + 8n = 51 + 35

Combine like terms: -35 + 35 = 0
0 + 8n = 51 + 35
8n = 51 + 35

Combine like terms: 51 + 35 = 86
8n = 86

Divide each side by '8'.
n = 10.75

Simplifying
n = 10.75

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