5(2n+6)+8=33

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Solution for 5(2n+6)+8=33 equation: 


Simplifying
5(2n + 6) + 8 = 33

Reorder the terms:
5(6 + 2n) + 8 = 33
(6 * 5 + 2n * 5) + 8 = 33
(30 + 10n) + 8 = 33

Reorder the terms:
30 + 8 + 10n = 33

Combine like terms: 30 + 8 = 38
38 + 10n = 33

Solving
38 + 10n = 33

Solving for variable 'n'.

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

Add '-38' to each side of the equation.
38 + -38 + 10n = 33 + -38

Combine like terms: 38 + -38 = 0
0 + 10n = 33 + -38
10n = 33 + -38

Combine like terms: 33 + -38 = -5
10n = -5

Divide each side by '10'.
n = -0.5

Simplifying
n = -0.5

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