7(n-8)+7n=10+3n

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Solution for 7(n-8)+7n=10+3n equation:


Simplifying
7(n + -8) + 7n = 10 + 3n

Reorder the terms:
7(-8 + n) + 7n = 10 + 3n
(-8 * 7 + n * 7) + 7n = 10 + 3n
(-56 + 7n) + 7n = 10 + 3n

Combine like terms: 7n + 7n = 14n
-56 + 14n = 10 + 3n

Solving
-56 + 14n = 10 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-56 + 14n + -3n = 10 + 3n + -3n

Combine like terms: 14n + -3n = 11n
-56 + 11n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
-56 + 11n = 10 + 0
-56 + 11n = 10

Add '56' to each side of the equation.
-56 + 56 + 11n = 10 + 56

Combine like terms: -56 + 56 = 0
0 + 11n = 10 + 56
11n = 10 + 56

Combine like terms: 10 + 56 = 66
11n = 66

Divide each side by '11'.
n = 6

Simplifying
n = 6

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