8(2n+4)=7(5n+6)+5

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Solution for 8(2n+4)=7(5n+6)+5 equation: 


Simplifying
8(2n + 4) = 7(5n + 6) + 5

Reorder the terms:
8(4 + 2n) = 7(5n + 6) + 5
(4 * 8 + 2n * 8) = 7(5n + 6) + 5
(32 + 16n) = 7(5n + 6) + 5

Reorder the terms:
32 + 16n = 7(6 + 5n) + 5
32 + 16n = (6 * 7 + 5n * 7) + 5
32 + 16n = (42 + 35n) + 5

Reorder the terms:
32 + 16n = 42 + 5 + 35n

Combine like terms: 42 + 5 = 47
32 + 16n = 47 + 35n

Solving
32 + 16n = 47 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
32 + 16n + -35n = 47 + 35n + -35n

Combine like terms: 16n + -35n = -19n
32 + -19n = 47 + 35n + -35n

Combine like terms: 35n + -35n = 0
32 + -19n = 47 + 0
32 + -19n = 47

Add '-32' to each side of the equation.
32 + -32 + -19n = 47 + -32

Combine like terms: 32 + -32 = 0
0 + -19n = 47 + -32
-19n = 47 + -32

Combine like terms: 47 + -32 = 15
-19n = 15

Divide each side by '-19'.
n = -0.7894736842

Simplifying
n = -0.7894736842

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