7(1-2n)+2(4n+3)+5=

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Solution for 7(1-2n)+2(4n+3)+5= equation:


Simplifying
7(1 + -2n) + 2(4n + 3) + 5 = 0
(1 * 7 + -2n * 7) + 2(4n + 3) + 5 = 0
(7 + -14n) + 2(4n + 3) + 5 = 0

Reorder the terms:
7 + -14n + 2(3 + 4n) + 5 = 0
7 + -14n + (3 * 2 + 4n * 2) + 5 = 0
7 + -14n + (6 + 8n) + 5 = 0

Reorder the terms:
7 + 6 + 5 + -14n + 8n = 0

Combine like terms: 7 + 6 = 13
13 + 5 + -14n + 8n = 0

Combine like terms: 13 + 5 = 18
18 + -14n + 8n = 0

Combine like terms: -14n + 8n = -6n
18 + -6n = 0

Solving
18 + -6n = 0

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + -18 + -6n = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -6n = 0 + -18
-6n = 0 + -18

Combine like terms: 0 + -18 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3

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