8(5n+1)+8(2n+4)=40

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Solution for 8(5n+1)+8(2n+4)=40 equation: 


Simplifying
8(5n + 1) + 8(2n + 4) = 40

Reorder the terms:
8(1 + 5n) + 8(2n + 4) = 40
(1 * 8 + 5n * 8) + 8(2n + 4) = 40
(8 + 40n) + 8(2n + 4) = 40

Reorder the terms:
8 + 40n + 8(4 + 2n) = 40
8 + 40n + (4 * 8 + 2n * 8) = 40
8 + 40n + (32 + 16n) = 40

Reorder the terms:
8 + 32 + 40n + 16n = 40

Combine like terms: 8 + 32 = 40
40 + 40n + 16n = 40

Combine like terms: 40n + 16n = 56n
40 + 56n = 40

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

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

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

Solving
56n = 0

Solving for variable 'n'.

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

Divide each side by '56'.
n = 0

Simplifying
n = 0

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