5(2n+4)=7(9n+2)+1

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Solution for 5(2n+4)=7(9n+2)+1 equation: 


Simplifying
5(2n + 4) = 7(9n + 2) + 1

Reorder the terms:
5(4 + 2n) = 7(9n + 2) + 1
(4 * 5 + 2n * 5) = 7(9n + 2) + 1
(20 + 10n) = 7(9n + 2) + 1

Reorder the terms:
20 + 10n = 7(2 + 9n) + 1
20 + 10n = (2 * 7 + 9n * 7) + 1
20 + 10n = (14 + 63n) + 1

Reorder the terms:
20 + 10n = 14 + 1 + 63n

Combine like terms: 14 + 1 = 15
20 + 10n = 15 + 63n

Solving
20 + 10n = 15 + 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.
20 + 10n + -63n = 15 + 63n + -63n

Combine like terms: 10n + -63n = -53n
20 + -53n = 15 + 63n + -63n

Combine like terms: 63n + -63n = 0
20 + -53n = 15 + 0
20 + -53n = 15

Add '-20' to each side of the equation.
20 + -20 + -53n = 15 + -20

Combine like terms: 20 + -20 = 0
0 + -53n = 15 + -20
-53n = 15 + -20

Combine like terms: 15 + -20 = -5
-53n = -5

Divide each side by '-53'.
n = 0.09433962264

Simplifying
n = 0.09433962264

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