7(n-8)+24=-3n+18

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Solution for 7(n-8)+24=-3n+18 equation:


Simplifying
7(n + -8) + 24 = -3n + 18

Reorder the terms:
7(-8 + n) + 24 = -3n + 18
(-8 * 7 + n * 7) + 24 = -3n + 18
(-56 + 7n) + 24 = -3n + 18

Reorder the terms:
-56 + 24 + 7n = -3n + 18

Combine like terms: -56 + 24 = -32
-32 + 7n = -3n + 18

Reorder the terms:
-32 + 7n = 18 + -3n

Solving
-32 + 7n = 18 + -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.
-32 + 7n + 3n = 18 + -3n + 3n

Combine like terms: 7n + 3n = 10n
-32 + 10n = 18 + -3n + 3n

Combine like terms: -3n + 3n = 0
-32 + 10n = 18 + 0
-32 + 10n = 18

Add '32' to each side of the equation.
-32 + 32 + 10n = 18 + 32

Combine like terms: -32 + 32 = 0
0 + 10n = 18 + 32
10n = 18 + 32

Combine like terms: 18 + 32 = 50
10n = 50

Divide each side by '10'.
n = 5

Simplifying
n = 5

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