7+3(n+1)=-n-2

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Solution for 7+3(n+1)=-n-2 equation:


Simplifying
7 + 3(n + 1) = -1n + -2

Reorder the terms:
7 + 3(1 + n) = -1n + -2
7 + (1 * 3 + n * 3) = -1n + -2
7 + (3 + 3n) = -1n + -2

Combine like terms: 7 + 3 = 10
10 + 3n = -1n + -2

Reorder the terms:
10 + 3n = -2 + -1n

Solving
10 + 3n = -2 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
10 + 3n + n = -2 + -1n + n

Combine like terms: 3n + n = 4n
10 + 4n = -2 + -1n + n

Combine like terms: -1n + n = 0
10 + 4n = -2 + 0
10 + 4n = -2

Add '-10' to each side of the equation.
10 + -10 + 4n = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 4n = -2 + -10
4n = -2 + -10

Combine like terms: -2 + -10 = -12
4n = -12

Divide each side by '4'.
n = -3

Simplifying
n = -3

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