8(2n-5)=(2n+3)+2

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Solution for 8(2n-5)=(2n+3)+2 equation:


Simplifying
8(2n + -5) = (2n + 3) + 2

Reorder the terms:
8(-5 + 2n) = (2n + 3) + 2
(-5 * 8 + 2n * 8) = (2n + 3) + 2
(-40 + 16n) = (2n + 3) + 2

Reorder the terms:
-40 + 16n = (3 + 2n) + 2

Remove parenthesis around (3 + 2n)
-40 + 16n = 3 + 2n + 2

Reorder the terms:
-40 + 16n = 3 + 2 + 2n

Combine like terms: 3 + 2 = 5
-40 + 16n = 5 + 2n

Solving
-40 + 16n = 5 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-40 + 16n + -2n = 5 + 2n + -2n

Combine like terms: 16n + -2n = 14n
-40 + 14n = 5 + 2n + -2n

Combine like terms: 2n + -2n = 0
-40 + 14n = 5 + 0
-40 + 14n = 5

Add '40' to each side of the equation.
-40 + 40 + 14n = 5 + 40

Combine like terms: -40 + 40 = 0
0 + 14n = 5 + 40
14n = 5 + 40

Combine like terms: 5 + 40 = 45
14n = 45

Divide each side by '14'.
n = 3.214285714

Simplifying
n = 3.214285714

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