2=7+5(n+7)

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Solution for 2=7+5(n+7) equation: 


Simplifying
2 = 7 + 5(n + 7)

Reorder the terms:
2 = 7 + 5(7 + n)
2 = 7 + (7 * 5 + n * 5)
2 = 7 + (35 + 5n)

Combine like terms: 7 + 35 = 42
2 = 42 + 5n

Solving
2 = 42 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + -5n = 42 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -5n = 42 + 0
2 + -5n = 42

Add '-2' to each side of the equation.
2 + -2 + -5n = 42 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 42 + -2
-5n = 42 + -2

Combine like terms: 42 + -2 = 40
-5n = 40

Divide each side by '-5'.
n = -8

Simplifying
n = -8

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