4(2+2n)+3(5-n)=33

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Solution for 4(2+2n)+3(5-n)=33 equation: 


Simplifying
4(2 + 2n) + 3(5 + -1n) = 33
(2 * 4 + 2n * 4) + 3(5 + -1n) = 33
(8 + 8n) + 3(5 + -1n) = 33
8 + 8n + (5 * 3 + -1n * 3) = 33
8 + 8n + (15 + -3n) = 33

Reorder the terms:
8 + 15 + 8n + -3n = 33

Combine like terms: 8 + 15 = 23
23 + 8n + -3n = 33

Combine like terms: 8n + -3n = 5n
23 + 5n = 33

Solving
23 + 5n = 33

Solving for variable 'n'.

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

Add '-23' to each side of the equation.
23 + -23 + 5n = 33 + -23

Combine like terms: 23 + -23 = 0
0 + 5n = 33 + -23
5n = 33 + -23

Combine like terms: 33 + -23 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2

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