4(2n+4)=7(9n+8)+8

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Solution for 4(2n+4)=7(9n+8)+8 equation: 


Simplifying
4(2n + 4) = 7(9n + 8) + 8

Reorder the terms:
4(4 + 2n) = 7(9n + 8) + 8
(4 * 4 + 2n * 4) = 7(9n + 8) + 8
(16 + 8n) = 7(9n + 8) + 8

Reorder the terms:
16 + 8n = 7(8 + 9n) + 8
16 + 8n = (8 * 7 + 9n * 7) + 8
16 + 8n = (56 + 63n) + 8

Reorder the terms:
16 + 8n = 56 + 8 + 63n

Combine like terms: 56 + 8 = 64
16 + 8n = 64 + 63n

Solving
16 + 8n = 64 + 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.
16 + 8n + -63n = 64 + 63n + -63n

Combine like terms: 8n + -63n = -55n
16 + -55n = 64 + 63n + -63n

Combine like terms: 63n + -63n = 0
16 + -55n = 64 + 0
16 + -55n = 64

Add '-16' to each side of the equation.
16 + -16 + -55n = 64 + -16

Combine like terms: 16 + -16 = 0
0 + -55n = 64 + -16
-55n = 64 + -16

Combine like terms: 64 + -16 = 48
-55n = 48

Divide each side by '-55'.
n = -0.8727272727

Simplifying
n = -0.8727272727

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