7(4n+1)+3(5-6n)=20

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Solution for 7(4n+1)+3(5-6n)=20 equation: 


Simplifying
7(4n + 1) + 3(5 + -6n) = 20

Reorder the terms:
7(1 + 4n) + 3(5 + -6n) = 20
(1 * 7 + 4n * 7) + 3(5 + -6n) = 20
(7 + 28n) + 3(5 + -6n) = 20
7 + 28n + (5 * 3 + -6n * 3) = 20
7 + 28n + (15 + -18n) = 20

Reorder the terms:
7 + 15 + 28n + -18n = 20

Combine like terms: 7 + 15 = 22
22 + 28n + -18n = 20

Combine like terms: 28n + -18n = 10n
22 + 10n = 20

Solving
22 + 10n = 20

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + 10n = 20 + -22

Combine like terms: 22 + -22 = 0
0 + 10n = 20 + -22
10n = 20 + -22

Combine like terms: 20 + -22 = -2
10n = -2

Divide each side by '10'.
n = -0.2

Simplifying
n = -0.2

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