7(n+4)=8-3n

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Solution for 7(n+4)=8-3n equation: 


Simplifying
7(n + 4) = 8 + -3n

Reorder the terms:
7(4 + n) = 8 + -3n
(4 * 7 + n * 7) = 8 + -3n
(28 + 7n) = 8 + -3n

Solving
28 + 7n = 8 + -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.
28 + 7n + 3n = 8 + -3n + 3n

Combine like terms: 7n + 3n = 10n
28 + 10n = 8 + -3n + 3n

Combine like terms: -3n + 3n = 0
28 + 10n = 8 + 0
28 + 10n = 8

Add '-28' to each side of the equation.
28 + -28 + 10n = 8 + -28

Combine like terms: 28 + -28 = 0
0 + 10n = 8 + -28
10n = 8 + -28

Combine like terms: 8 + -28 = -20
10n = -20

Divide each side by '10'.
n = -2

Simplifying
n = -2

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