4(2n+5)=6(8n+8)+8

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Solution for 4(2n+5)=6(8n+8)+8 equation: 


Simplifying
4(2n + 5) = 6(8n + 8) + 8

Reorder the terms:
4(5 + 2n) = 6(8n + 8) + 8
(5 * 4 + 2n * 4) = 6(8n + 8) + 8
(20 + 8n) = 6(8n + 8) + 8

Reorder the terms:
20 + 8n = 6(8 + 8n) + 8
20 + 8n = (8 * 6 + 8n * 6) + 8
20 + 8n = (48 + 48n) + 8

Reorder the terms:
20 + 8n = 48 + 8 + 48n

Combine like terms: 48 + 8 = 56
20 + 8n = 56 + 48n

Solving
20 + 8n = 56 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
20 + 8n + -48n = 56 + 48n + -48n

Combine like terms: 8n + -48n = -40n
20 + -40n = 56 + 48n + -48n

Combine like terms: 48n + -48n = 0
20 + -40n = 56 + 0
20 + -40n = 56

Add '-20' to each side of the equation.
20 + -20 + -40n = 56 + -20

Combine like terms: 20 + -20 = 0
0 + -40n = 56 + -20
-40n = 56 + -20

Combine like terms: 56 + -20 = 36
-40n = 36

Divide each side by '-40'.
n = -0.9

Simplifying
n = -0.9

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