8(3n+4)=8(8n+9)+4

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Solution for 8(3n+4)=8(8n+9)+4 equation: 


Simplifying
8(3n + 4) = 8(8n + 9) + 4

Reorder the terms:
8(4 + 3n) = 8(8n + 9) + 4
(4 * 8 + 3n * 8) = 8(8n + 9) + 4
(32 + 24n) = 8(8n + 9) + 4

Reorder the terms:
32 + 24n = 8(9 + 8n) + 4
32 + 24n = (9 * 8 + 8n * 8) + 4
32 + 24n = (72 + 64n) + 4

Reorder the terms:
32 + 24n = 72 + 4 + 64n

Combine like terms: 72 + 4 = 76
32 + 24n = 76 + 64n

Solving
32 + 24n = 76 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
32 + 24n + -64n = 76 + 64n + -64n

Combine like terms: 24n + -64n = -40n
32 + -40n = 76 + 64n + -64n

Combine like terms: 64n + -64n = 0
32 + -40n = 76 + 0
32 + -40n = 76

Add '-32' to each side of the equation.
32 + -32 + -40n = 76 + -32

Combine like terms: 32 + -32 = 0
0 + -40n = 76 + -32
-40n = 76 + -32

Combine like terms: 76 + -32 = 44
-40n = 44

Divide each side by '-40'.
n = -1.1

Simplifying
n = -1.1

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