2(2n+1)=7(9n+7)+8

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Solution for 2(2n+1)=7(9n+7)+8 equation: 


Simplifying
2(2n + 1) = 7(9n + 7) + 8

Reorder the terms:
2(1 + 2n) = 7(9n + 7) + 8
(1 * 2 + 2n * 2) = 7(9n + 7) + 8
(2 + 4n) = 7(9n + 7) + 8

Reorder the terms:
2 + 4n = 7(7 + 9n) + 8
2 + 4n = (7 * 7 + 9n * 7) + 8
2 + 4n = (49 + 63n) + 8

Reorder the terms:
2 + 4n = 49 + 8 + 63n

Combine like terms: 49 + 8 = 57
2 + 4n = 57 + 63n

Solving
2 + 4n = 57 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
2 + 4n + -63n = 57 + 63n + -63n

Combine like terms: 4n + -63n = -59n
2 + -59n = 57 + 63n + -63n

Combine like terms: 63n + -63n = 0
2 + -59n = 57 + 0
2 + -59n = 57

Add '-2' to each side of the equation.
2 + -2 + -59n = 57 + -2

Combine like terms: 2 + -2 = 0
0 + -59n = 57 + -2
-59n = 57 + -2

Combine like terms: 57 + -2 = 55
-59n = 55

Divide each side by '-59'.
n = -0.9322033898

Simplifying
n = -0.9322033898

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