5(3n+4)+2(5-2n)=7

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Solution for 5(3n+4)+2(5-2n)=7 equation: 


Simplifying
5(3n + 4) + 2(5 + -2n) = 7

Reorder the terms:
5(4 + 3n) + 2(5 + -2n) = 7
(4 * 5 + 3n * 5) + 2(5 + -2n) = 7
(20 + 15n) + 2(5 + -2n) = 7
20 + 15n + (5 * 2 + -2n * 2) = 7
20 + 15n + (10 + -4n) = 7

Reorder the terms:
20 + 10 + 15n + -4n = 7

Combine like terms: 20 + 10 = 30
30 + 15n + -4n = 7

Combine like terms: 15n + -4n = 11n
30 + 11n = 7

Solving
30 + 11n = 7

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + 11n = 7 + -30

Combine like terms: 30 + -30 = 0
0 + 11n = 7 + -30
11n = 7 + -30

Combine like terms: 7 + -30 = -23
11n = -23

Divide each side by '11'.
n = -2.090909091

Simplifying
n = -2.090909091

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