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

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


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

Reorder the terms:
2(1 + 2n) = 7(3n + 5) + 2
(1 * 2 + 2n * 2) = 7(3n + 5) + 2
(2 + 4n) = 7(3n + 5) + 2

Reorder the terms:
2 + 4n = 7(5 + 3n) + 2
2 + 4n = (5 * 7 + 3n * 7) + 2
2 + 4n = (35 + 21n) + 2

Reorder the terms:
2 + 4n = 35 + 2 + 21n

Combine like terms: 35 + 2 = 37
2 + 4n = 37 + 21n

Solving
2 + 4n = 37 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
2 + 4n + -21n = 37 + 21n + -21n

Combine like terms: 4n + -21n = -17n
2 + -17n = 37 + 21n + -21n

Combine like terms: 21n + -21n = 0
2 + -17n = 37 + 0
2 + -17n = 37

Add '-2' to each side of the equation.
2 + -2 + -17n = 37 + -2

Combine like terms: 2 + -2 = 0
0 + -17n = 37 + -2
-17n = 37 + -2

Combine like terms: 37 + -2 = 35
-17n = 35

Divide each side by '-17'.
n = -2.058823529

Simplifying
n = -2.058823529

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