8(2n+5)=8(4n+4)+7

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Solution for 8(2n+5)=8(4n+4)+7 equation: 


Simplifying
8(2n + 5) = 8(4n + 4) + 7

Reorder the terms:
8(5 + 2n) = 8(4n + 4) + 7
(5 * 8 + 2n * 8) = 8(4n + 4) + 7
(40 + 16n) = 8(4n + 4) + 7

Reorder the terms:
40 + 16n = 8(4 + 4n) + 7
40 + 16n = (4 * 8 + 4n * 8) + 7
40 + 16n = (32 + 32n) + 7

Reorder the terms:
40 + 16n = 32 + 7 + 32n

Combine like terms: 32 + 7 = 39
40 + 16n = 39 + 32n

Solving
40 + 16n = 39 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
40 + 16n + -32n = 39 + 32n + -32n

Combine like terms: 16n + -32n = -16n
40 + -16n = 39 + 32n + -32n

Combine like terms: 32n + -32n = 0
40 + -16n = 39 + 0
40 + -16n = 39

Add '-40' to each side of the equation.
40 + -40 + -16n = 39 + -40

Combine like terms: 40 + -40 = 0
0 + -16n = 39 + -40
-16n = 39 + -40

Combine like terms: 39 + -40 = -1
-16n = -1

Divide each side by '-16'.
n = 0.0625

Simplifying
n = 0.0625

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