8(2n-5)=(9n+5)+4

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Solution for 8(2n-5)=(9n+5)+4 equation:


Simplifying
8(2n + -5) = (9n + 5) + 4

Reorder the terms:
8(-5 + 2n) = (9n + 5) + 4
(-5 * 8 + 2n * 8) = (9n + 5) + 4
(-40 + 16n) = (9n + 5) + 4

Reorder the terms:
-40 + 16n = (5 + 9n) + 4

Remove parenthesis around (5 + 9n)
-40 + 16n = 5 + 9n + 4

Reorder the terms:
-40 + 16n = 5 + 4 + 9n

Combine like terms: 5 + 4 = 9
-40 + 16n = 9 + 9n

Solving
-40 + 16n = 9 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-40 + 16n + -9n = 9 + 9n + -9n

Combine like terms: 16n + -9n = 7n
-40 + 7n = 9 + 9n + -9n

Combine like terms: 9n + -9n = 0
-40 + 7n = 9 + 0
-40 + 7n = 9

Add '40' to each side of the equation.
-40 + 40 + 7n = 9 + 40

Combine like terms: -40 + 40 = 0
0 + 7n = 9 + 40
7n = 9 + 40

Combine like terms: 9 + 40 = 49
7n = 49

Divide each side by '7'.
n = 7

Simplifying
n = 7

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