87=7(n+6)+2n

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Solution for 87=7(n+6)+2n equation:


Simplifying
87 = 7(n + 6) + 2n

Reorder the terms:
87 = 7(6 + n) + 2n
87 = (6 * 7 + n * 7) + 2n
87 = (42 + 7n) + 2n

Combine like terms: 7n + 2n = 9n
87 = 42 + 9n

Solving
87 = 42 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
87 + -9n = 42 + 9n + -9n

Combine like terms: 9n + -9n = 0
87 + -9n = 42 + 0
87 + -9n = 42

Add '-87' to each side of the equation.
87 + -87 + -9n = 42 + -87

Combine like terms: 87 + -87 = 0
0 + -9n = 42 + -87
-9n = 42 + -87

Combine like terms: 42 + -87 = -45
-9n = -45

Divide each side by '-9'.
n = 5

Simplifying
n = 5

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