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

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


Simplifying
2(2n + 1) = 7(4n + 5) + 7

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

Reorder the terms:
2 + 4n = 7(5 + 4n) + 7
2 + 4n = (5 * 7 + 4n * 7) + 7
2 + 4n = (35 + 28n) + 7

Reorder the terms:
2 + 4n = 35 + 7 + 28n

Combine like terms: 35 + 7 = 42
2 + 4n = 42 + 28n

Solving
2 + 4n = 42 + 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 = 42 + 28n + -28n

Combine like terms: 4n + -28n = -24n
2 + -24n = 42 + 28n + -28n

Combine like terms: 28n + -28n = 0
2 + -24n = 42 + 0
2 + -24n = 42

Add '-2' to each side of the equation.
2 + -2 + -24n = 42 + -2

Combine like terms: 2 + -2 = 0
0 + -24n = 42 + -2
-24n = 42 + -2

Combine like terms: 42 + -2 = 40
-24n = 40

Divide each side by '-24'.
n = -1.666666667

Simplifying
n = -1.666666667

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