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

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


Simplifying
7(1 + -2n) = 2(1 + 3n) + 5
(1 * 7 + -2n * 7) = 2(1 + 3n) + 5
(7 + -14n) = 2(1 + 3n) + 5
7 + -14n = (1 * 2 + 3n * 2) + 5
7 + -14n = (2 + 6n) + 5

Reorder the terms:
7 + -14n = 2 + 5 + 6n

Combine like terms: 2 + 5 = 7
7 + -14n = 7 + 6n

Add '-7' to each side of the equation.
7 + -7 + -14n = 7 + -7 + 6n

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

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

Solving
-14n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-14n + -6n = 6n + -6n

Combine like terms: -14n + -6n = -20n
-20n = 6n + -6n

Combine like terms: 6n + -6n = 0
-20n = 0

Divide each side by '-20'.
n = 0.0

Simplifying
n = 0.0

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