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

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


Simplifying
2(2n + 1) = 7(4n + 3) + 4

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

Reorder the terms:
2 + 4n = 7(3 + 4n) + 4
2 + 4n = (3 * 7 + 4n * 7) + 4
2 + 4n = (21 + 28n) + 4

Reorder the terms:
2 + 4n = 21 + 4 + 28n

Combine like terms: 21 + 4 = 25
2 + 4n = 25 + 28n

Solving
2 + 4n = 25 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
2 + 4n + -28n = 25 + 28n + -28n

Combine like terms: 4n + -28n = -24n
2 + -24n = 25 + 28n + -28n

Combine like terms: 28n + -28n = 0
2 + -24n = 25 + 0
2 + -24n = 25

Add '-2' to each side of the equation.
2 + -2 + -24n = 25 + -2

Combine like terms: 2 + -2 = 0
0 + -24n = 25 + -2
-24n = 25 + -2

Combine like terms: 25 + -2 = 23
-24n = 23

Divide each side by '-24'.
n = -0.9583333333

Simplifying
n = -0.9583333333

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